What is the Greatest Common Factor of 68964 and 68971?

Greatest common factor (GCF) of 68964 and 68971 is 7.

GCF(68964,68971) = 7

We will now calculate the prime factors of 68964 and 68971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68964 and 68971.

How to find the GCF of 68964 and 68971?

We will first find the prime factorization of 68964 and 68971. After we will calculate the factors of 68964 and 68971 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 68971

Prime factors of 68971 are 7, 59, 167. Prime factorization of 68971 in exponential form is:

68971 = 7¹ × 59¹ × 167¹

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 68971

List of positive integer factors of 68971 that divides 68964 without a remainder.

1, 7, 59, 167, 413, 1169, 9853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68964 and 68971. The biggest common factor number is the GCF number.
So the greatest common factor 68964 and 68971 is 7.

Also check out the Least Common Multiple of 68964 and 68971