What is the Greatest Common Factor of 26978 and 26992?

Greatest common factor (GCF) of 26978 and 26992 is 14.

GCF(26978,26992) = 14

We will now calculate the prime factors of 26978 and 26992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26978 and 26992.

How to find the GCF of 26978 and 26992?

We will first find the prime factorization of 26978 and 26992. After we will calculate the factors of 26978 and 26992 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26992

Prime factors of 26992 are 2, 7, 241. Prime factorization of 26992 in exponential form is:

26992 = 2⁴ × 7¹ × 241¹

Step-3: Factors of 26978

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

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

Step-4: Factors of 26992

List of positive integer factors of 26992 that divides 26978 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 241, 482, 964, 1687, 1928, 3374, 3856, 6748, 13496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26978 and 26992. The biggest common factor number is the GCF number.
So the greatest common factor 26978 and 26992 is 14.

Also check out the Least Common Multiple of 26978 and 26992