What is the Greatest Common Factor of 26961 and 26967?

Greatest common factor (GCF) of 26961 and 26967 is 3.

GCF(26961,26967) = 3

We will now calculate the prime factors of 26961 and 26967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26961 and 26967.

How to find the GCF of 26961 and 26967?

We will first find the prime factorization of 26961 and 26967. After we will calculate the factors of 26961 and 26967 and find the biggest common factor number .

Step-1: Prime Factorization of 26961

Prime factors of 26961 are 3, 11, 19, 43. Prime factorization of 26961 in exponential form is:

26961 = 3¹ × 11¹ × 19¹ × 43¹

Step-2: Prime Factorization of 26967

Prime factors of 26967 are 3, 89, 101. Prime factorization of 26967 in exponential form is:

26967 = 3¹ × 89¹ × 101¹

Step-3: Factors of 26961

List of positive integer factors of 26961 that divides 26961 without a remainder.

1, 3, 11, 19, 33, 43, 57, 129, 209, 473, 627, 817, 1419, 2451, 8987

Step-4: Factors of 26967

List of positive integer factors of 26967 that divides 26961 without a remainder.

1, 3, 89, 101, 267, 303, 8989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26961 and 26967. The biggest common factor number is the GCF number.
So the greatest common factor 26961 and 26967 is 3.

Also check out the Least Common Multiple of 26961 and 26967