What is the Greatest Common Factor of 26940 and 26959?

Greatest common factor (GCF) of 26940 and 26959 is 1.

GCF(26940,26959) = 1

We will now calculate the prime factors of 26940 and 26959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26940 and 26959.

How to find the GCF of 26940 and 26959?

We will first find the prime factorization of 26940 and 26959. After we will calculate the factors of 26940 and 26959 and find the biggest common factor number .

Step-1: Prime Factorization of 26940

Prime factors of 26940 are 2, 3, 5, 449. Prime factorization of 26940 in exponential form is:

26940 = 2² × 3¹ × 5¹ × 449¹

Step-2: Prime Factorization of 26959

Prime factors of 26959 are 26959. Prime factorization of 26959 in exponential form is:

26959 = 26959¹

Step-3: Factors of 26940

List of positive integer factors of 26940 that divides 26940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 449, 898, 1347, 1796, 2245, 2694, 4490, 5388, 6735, 8980, 13470

Step-4: Factors of 26959

List of positive integer factors of 26959 that divides 26940 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26940 and 26959. The biggest common factor number is the GCF number.
So the greatest common factor 26940 and 26959 is 1.

Also check out the Least Common Multiple of 26940 and 26959