What is the Greatest Common Factor of 26938 and 26944?

Greatest common factor (GCF) of 26938 and 26944 is 2.

GCF(26938,26944) = 2

We will now calculate the prime factors of 26938 and 26944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26938 and 26944.

How to find the GCF of 26938 and 26944?

We will first find the prime factorization of 26938 and 26944. After we will calculate the factors of 26938 and 26944 and find the biggest common factor number .

Step-1: Prime Factorization of 26938

Prime factors of 26938 are 2, 13469. Prime factorization of 26938 in exponential form is:

26938 = 2¹ × 13469¹

Step-2: Prime Factorization of 26944

Prime factors of 26944 are 2, 421. Prime factorization of 26944 in exponential form is:

26944 = 2⁶ × 421¹

Step-3: Factors of 26938

List of positive integer factors of 26938 that divides 26938 without a remainder.

1, 2, 13469

Step-4: Factors of 26944

List of positive integer factors of 26944 that divides 26938 without a remainder.

1, 2, 4, 8, 16, 32, 64, 421, 842, 1684, 3368, 6736, 13472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26938 and 26944. The biggest common factor number is the GCF number.
So the greatest common factor 26938 and 26944 is 2.

Also check out the Least Common Multiple of 26938 and 26944