What is the Greatest Common Factor of 26852 and 26872?

Greatest common factor (GCF) of 26852 and 26872 is 4.

GCF(26852,26872) = 4

We will now calculate the prime factors of 26852 and 26872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26852 and 26872.

How to find the GCF of 26852 and 26872?

We will first find the prime factorization of 26852 and 26872. After we will calculate the factors of 26852 and 26872 and find the biggest common factor number .

Step-1: Prime Factorization of 26852

Prime factors of 26852 are 2, 7, 137. Prime factorization of 26852 in exponential form is:

26852 = 2² × 7² × 137¹

Step-2: Prime Factorization of 26872

Prime factors of 26872 are 2, 3359. Prime factorization of 26872 in exponential form is:

26872 = 2³ × 3359¹

Step-3: Factors of 26852

List of positive integer factors of 26852 that divides 26852 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 137, 196, 274, 548, 959, 1918, 3836, 6713, 13426

Step-4: Factors of 26872

List of positive integer factors of 26872 that divides 26852 without a remainder.

1, 2, 4, 8, 3359, 6718, 13436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26852 and 26872. The biggest common factor number is the GCF number.
So the greatest common factor 26852 and 26872 is 4.

Also check out the Least Common Multiple of 26852 and 26872