What is the Greatest Common Factor of 26689 and 26702?

Greatest common factor (GCF) of 26689 and 26702 is 13.

GCF(26689,26702) = 13

We will now calculate the prime factors of 26689 and 26702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26689 and 26702.

How to find the GCF of 26689 and 26702?

We will first find the prime factorization of 26689 and 26702. After we will calculate the factors of 26689 and 26702 and find the biggest common factor number .

Step-1: Prime Factorization of 26689

Prime factors of 26689 are 13, 2053. Prime factorization of 26689 in exponential form is:

26689 = 13¹ × 2053¹

Step-2: Prime Factorization of 26702

Prime factors of 26702 are 2, 13, 79. Prime factorization of 26702 in exponential form is:

26702 = 2¹ × 13² × 79¹

Step-3: Factors of 26689

List of positive integer factors of 26689 that divides 26689 without a remainder.

1, 13, 2053

Step-4: Factors of 26702

List of positive integer factors of 26702 that divides 26689 without a remainder.

1, 2, 13, 26, 79, 158, 169, 338, 1027, 2054, 13351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26689 and 26702. The biggest common factor number is the GCF number.
So the greatest common factor 26689 and 26702 is 13.

Also check out the Least Common Multiple of 26689 and 26702