What is the Greatest Common Factor of 26964 and 26971?

Greatest common factor (GCF) of 26964 and 26971 is 7.

GCF(26964,26971) = 7

We will now calculate the prime factors of 26964 and 26971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26964 and 26971.

How to find the GCF of 26964 and 26971?

We will first find the prime factorization of 26964 and 26971. After we will calculate the factors of 26964 and 26971 and find the biggest common factor number .

Step-1: Prime Factorization of 26964

Prime factors of 26964 are 2, 3, 7, 107. Prime factorization of 26964 in exponential form is:

26964 = 2² × 3² × 7¹ × 107¹

Step-2: Prime Factorization of 26971

Prime factors of 26971 are 7, 3853. Prime factorization of 26971 in exponential form is:

26971 = 7¹ × 3853¹

Step-3: Factors of 26964

List of positive integer factors of 26964 that divides 26964 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 107, 126, 214, 252, 321, 428, 642, 749, 963, 1284, 1498, 1926, 2247, 2996, 3852, 4494, 6741, 8988, 13482

Step-4: Factors of 26971

List of positive integer factors of 26971 that divides 26964 without a remainder.

1, 7, 3853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26964 and 26971. The biggest common factor number is the GCF number.
So the greatest common factor 26964 and 26971 is 7.

Also check out the Least Common Multiple of 26964 and 26971