What is the Greatest Common Factor of 26696 and 26702?

Greatest common factor (GCF) of 26696 and 26702 is 2.

GCF(26696,26702) = 2

We will now calculate the prime factors of 26696 and 26702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26696 and 26702.

How to find the GCF of 26696 and 26702?

We will first find the prime factorization of 26696 and 26702. After we will calculate the factors of 26696 and 26702 and find the biggest common factor number .

Step-1: Prime Factorization of 26696

Prime factors of 26696 are 2, 47, 71. Prime factorization of 26696 in exponential form is:

26696 = 2³ × 47¹ × 71¹

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 26696

List of positive integer factors of 26696 that divides 26696 without a remainder.

1, 2, 4, 8, 47, 71, 94, 142, 188, 284, 376, 568, 3337, 6674, 13348

Step-4: Factors of 26702

List of positive integer factors of 26702 that divides 26696 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 26696 and 26702. The biggest common factor number is the GCF number.
So the greatest common factor 26696 and 26702 is 2.

Also check out the Least Common Multiple of 26696 and 26702