What is the Greatest Common Factor of 26986 and 26996?

Greatest common factor (GCF) of 26986 and 26996 is 2.

GCF(26986,26996) = 2

We will now calculate the prime factors of 26986 and 26996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26986 and 26996.

How to find the GCF of 26986 and 26996?

We will first find the prime factorization of 26986 and 26996. After we will calculate the factors of 26986 and 26996 and find the biggest common factor number .

Step-1: Prime Factorization of 26986

Prime factors of 26986 are 2, 103, 131. Prime factorization of 26986 in exponential form is:

26986 = 2¹ × 103¹ × 131¹

Step-2: Prime Factorization of 26996

Prime factors of 26996 are 2, 17, 397. Prime factorization of 26996 in exponential form is:

26996 = 2² × 17¹ × 397¹

Step-3: Factors of 26986

List of positive integer factors of 26986 that divides 26986 without a remainder.

1, 2, 103, 131, 206, 262, 13493

Step-4: Factors of 26996

List of positive integer factors of 26996 that divides 26986 without a remainder.

1, 2, 4, 17, 34, 68, 397, 794, 1588, 6749, 13498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26986 and 26996. The biggest common factor number is the GCF number.
So the greatest common factor 26986 and 26996 is 2.

Also check out the Least Common Multiple of 26986 and 26996