What is the Greatest Common Factor of 26852 and 26870?

Greatest common factor (GCF) of 26852 and 26870 is 2.

GCF(26852,26870) = 2

We will now calculate the prime factors of 26852 and 26870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26852 and 26870.

How to find the GCF of 26852 and 26870?

We will first find the prime factorization of 26852 and 26870. After we will calculate the factors of 26852 and 26870 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 26870

Prime factors of 26870 are 2, 5, 2687. Prime factorization of 26870 in exponential form is:

26870 = 2¹ × 5¹ × 2687¹

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 26870

List of positive integer factors of 26870 that divides 26852 without a remainder.

1, 2, 5, 10, 2687, 5374, 13435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26852 and 26870. The biggest common factor number is the GCF number.
So the greatest common factor 26852 and 26870 is 2.

Also check out the Least Common Multiple of 26852 and 26870