What is the Greatest Common Factor of 26964 and 26978?

Greatest common factor (GCF) of 26964 and 26978 is 14.

GCF(26964,26978) = 14

We will now calculate the prime factors of 26964 and 26978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26964 and 26978.

How to find the GCF of 26964 and 26978?

We will first find the prime factorization of 26964 and 26978. After we will calculate the factors of 26964 and 26978 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 26978

Prime factors of 26978 are 2, 7, 41, 47. Prime factorization of 26978 in exponential form is:

26978 = 2¹ × 7¹ × 41¹ × 47¹

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 26978

List of positive integer factors of 26978 that divides 26964 without a remainder.

1, 2, 7, 14, 41, 47, 82, 94, 287, 329, 574, 658, 1927, 3854, 13489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26964 and 26978. The biggest common factor number is the GCF number.
So the greatest common factor 26964 and 26978 is 14.

Also check out the Least Common Multiple of 26964 and 26978