What is the Greatest Common Factor of 26960 and 26967?

Greatest common factor (GCF) of 26960 and 26967 is 1.

GCF(26960,26967) = 1

We will now calculate the prime factors of 26960 and 26967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26960 and 26967.

How to find the GCF of 26960 and 26967?

We will first find the prime factorization of 26960 and 26967. After we will calculate the factors of 26960 and 26967 and find the biggest common factor number .

Step-1: Prime Factorization of 26960

Prime factors of 26960 are 2, 5, 337. Prime factorization of 26960 in exponential form is:

26960 = 2⁴ × 5¹ × 337¹

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 26960

List of positive integer factors of 26960 that divides 26960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 337, 674, 1348, 1685, 2696, 3370, 5392, 6740, 13480

Step-4: Factors of 26967

List of positive integer factors of 26967 that divides 26960 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26960 and 26967. The biggest common factor number is the GCF number.
So the greatest common factor 26960 and 26967 is 1.

Also check out the Least Common Multiple of 26960 and 26967