What is the Greatest Common Factor of 26852 and 26860?

Greatest common factor (GCF) of 26852 and 26860 is 4.

GCF(26852,26860) = 4

We will now calculate the prime factors of 26852 and 26860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26852 and 26860.

How to find the GCF of 26852 and 26860?

We will first find the prime factorization of 26852 and 26860. After we will calculate the factors of 26852 and 26860 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 26860

Prime factors of 26860 are 2, 5, 17, 79. Prime factorization of 26860 in exponential form is:

26860 = 2² × 5¹ × 17¹ × 79¹

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 26860

List of positive integer factors of 26860 that divides 26852 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 79, 85, 158, 170, 316, 340, 395, 790, 1343, 1580, 2686, 5372, 6715, 13430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26852 and 26860. The biggest common factor number is the GCF number.
So the greatest common factor 26852 and 26860 is 4.

Also check out the Least Common Multiple of 26852 and 26860