What is the Greatest Common Factor of 68964 and 68982?

Greatest common factor (GCF) of 68964 and 68982 is 6.

GCF(68964,68982) = 6

We will now calculate the prime factors of 68964 and 68982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68964 and 68982.

How to find the GCF of 68964 and 68982?

We will first find the prime factorization of 68964 and 68982. After we will calculate the factors of 68964 and 68982 and find the biggest common factor number .

Step-1: Prime Factorization of 68964

Prime factors of 68964 are 2, 3, 7, 821. Prime factorization of 68964 in exponential form is:

68964 = 2² × 3¹ × 7¹ × 821¹

Step-2: Prime Factorization of 68982

Prime factors of 68982 are 2, 3, 11497. Prime factorization of 68982 in exponential form is:

68982 = 2¹ × 3¹ × 11497¹

Step-3: Factors of 68964

List of positive integer factors of 68964 that divides 68964 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 821, 1642, 2463, 3284, 4926, 5747, 9852, 11494, 17241, 22988, 34482

Step-4: Factors of 68982

List of positive integer factors of 68982 that divides 68964 without a remainder.

1, 2, 3, 6, 11497, 22994, 34491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68964 and 68982. The biggest common factor number is the GCF number.
So the greatest common factor 68964 and 68982 is 6.

Also check out the Least Common Multiple of 68964 and 68982