What is the Greatest Common Factor of 42684 and 42696?

Greatest common factor (GCF) of 42684 and 42696 is 12.

GCF(42684,42696) = 12

We will now calculate the prime factors of 42684 and 42696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42684 and 42696.

How to find the GCF of 42684 and 42696?

We will first find the prime factorization of 42684 and 42696. After we will calculate the factors of 42684 and 42696 and find the biggest common factor number .

Step-1: Prime Factorization of 42684

Prime factors of 42684 are 2, 3, 3557. Prime factorization of 42684 in exponential form is:

42684 = 2² × 3¹ × 3557¹

Step-2: Prime Factorization of 42696

Prime factors of 42696 are 2, 3, 593. Prime factorization of 42696 in exponential form is:

42696 = 2³ × 3² × 593¹

Step-3: Factors of 42684

List of positive integer factors of 42684 that divides 42684 without a remainder.

1, 2, 3, 4, 6, 12, 3557, 7114, 10671, 14228, 21342

Step-4: Factors of 42696

List of positive integer factors of 42696 that divides 42684 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 593, 1186, 1779, 2372, 3558, 4744, 5337, 7116, 10674, 14232, 21348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42684 and 42696. The biggest common factor number is the GCF number.
So the greatest common factor 42684 and 42696 is 12.

Also check out the Least Common Multiple of 42684 and 42696