What is the Greatest Common Factor of 26852 and 26856?

Greatest common factor (GCF) of 26852 and 26856 is 4.

GCF(26852,26856) = 4

We will now calculate the prime factors of 26852 and 26856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26852 and 26856.

How to find the GCF of 26852 and 26856?

We will first find the prime factorization of 26852 and 26856. After we will calculate the factors of 26852 and 26856 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 26856

Prime factors of 26856 are 2, 3, 373. Prime factorization of 26856 in exponential form is:

26856 = 2³ × 3² × 373¹

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 26856

List of positive integer factors of 26856 that divides 26852 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 373, 746, 1119, 1492, 2238, 2984, 3357, 4476, 6714, 8952, 13428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26852 and 26856. The biggest common factor number is the GCF number.
So the greatest common factor 26852 and 26856 is 4.

Also check out the Least Common Multiple of 26852 and 26856