What is the Greatest Common Factor of 26758 and 26772?

Greatest common factor (GCF) of 26758 and 26772 is 2.

GCF(26758,26772) = 2

We will now calculate the prime factors of 26758 and 26772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26758 and 26772.

How to find the GCF of 26758 and 26772?

We will first find the prime factorization of 26758 and 26772. After we will calculate the factors of 26758 and 26772 and find the biggest common factor number .

Step-1: Prime Factorization of 26758

Prime factors of 26758 are 2, 17, 787. Prime factorization of 26758 in exponential form is:

26758 = 2¹ × 17¹ × 787¹

Step-2: Prime Factorization of 26772

Prime factors of 26772 are 2, 3, 23, 97. Prime factorization of 26772 in exponential form is:

26772 = 2² × 3¹ × 23¹ × 97¹

Step-3: Factors of 26758

List of positive integer factors of 26758 that divides 26758 without a remainder.

1, 2, 17, 34, 787, 1574, 13379

Step-4: Factors of 26772

List of positive integer factors of 26772 that divides 26758 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 97, 138, 194, 276, 291, 388, 582, 1164, 2231, 4462, 6693, 8924, 13386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26758 and 26772. The biggest common factor number is the GCF number.
So the greatest common factor 26758 and 26772 is 2.

Also check out the Least Common Multiple of 26758 and 26772