What is the Greatest Common Factor of 42936 and 42948?

Greatest common factor (GCF) of 42936 and 42948 is 12.

GCF(42936,42948) = 12

We will now calculate the prime factors of 42936 and 42948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42936 and 42948.

How to find the GCF of 42936 and 42948?

We will first find the prime factorization of 42936 and 42948. After we will calculate the factors of 42936 and 42948 and find the biggest common factor number .

Step-1: Prime Factorization of 42936

Prime factors of 42936 are 2, 3, 1789. Prime factorization of 42936 in exponential form is:

42936 = 2³ × 3¹ × 1789¹

Step-2: Prime Factorization of 42948

Prime factors of 42948 are 2, 3, 1193. Prime factorization of 42948 in exponential form is:

42948 = 2² × 3² × 1193¹

Step-3: Factors of 42936

List of positive integer factors of 42936 that divides 42936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1789, 3578, 5367, 7156, 10734, 14312, 21468

Step-4: Factors of 42948

List of positive integer factors of 42948 that divides 42936 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1193, 2386, 3579, 4772, 7158, 10737, 14316, 21474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42936 and 42948. The biggest common factor number is the GCF number.
So the greatest common factor 42936 and 42948 is 12.

Also check out the Least Common Multiple of 42936 and 42948