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Which is the GCF of 75 and 30?
15
The GCF of 30 and 75 is 15. To calculate the GCF (Greatest Common Factor) of 30 and 75, we need to factor each number (factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30; factors of 75 = 1, 3, 5, 15, 25, 75) and choose the greatest factor that exactly divides both 30 and 75, i.e., 15.
What is the GCF and LCM of 30 and 75?
FAQs on LCM of 30 and 75 The LCM of 30 and 75 is 150. To find the LCM of 30 and 75, we need to find the multiples of 30 and 75 (multiples of 30 = 30, 60, 90, 120 . . . . 150; multiples of 75 = 75, 150, 225, 300) and choose the smallest multiple that is exactly divisible by 30 and 75, i.e., 150.
What are the factors of 30 and 75?
The prime factors of 30 are 5, 3 and 2. The prime numbers 5 and 3 are both factors that are common to 30 and 75. The product of these factors is 3×5 = 15. Thus, the “Greatest Common Factor” of 30 and 75 is 15.
What is the greatest common factor (GCF) of 30 and 75?
GCF of 30 and 75 is the largest possible number that divides 30 and 75 exactly without any remainder. The factors of 30 and 75 are 1, 2, 3, 5, 6, 10, 15, 30 and 1, 3, 5, 15, 25, 75 respectively. There are 3 commonly used methods to find the GCF of 30 and 75 – long division, Euclidean algorithm, and prime factorization. 1. 2. 3. 4.
What is the prime factorization of 30 and 75 in exponential form?
Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is: Prime factors of 75 are 3, 5. Prime factorization of 75 in exponential form is:
What is the greatest common factor of 45 and 75?
Solution by Factorization: The factors of 45 are: 1, 3, 5, 9, 15, 45. The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The factors of 75 are: 1, 3, 5, 15, 25, 75. Then the greatest common factor is 15. You can also find the GCF using. Prime Factorization or Euclid’s Algorithm.
How does the greatest common factor calculator work?
The Greatest Common Factor Calculator solution also works as a solution for finding: What is the Greatest Common Factor? The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.