What is the Greatest Common Factor of 26657 and 26672?

Greatest common factor (GCF) of 26657 and 26672 is 1.

GCF(26657,26672) = 1

We will now calculate the prime factors of 26657 and 26672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26657 and 26672.

How to find the GCF of 26657 and 26672?

We will first find the prime factorization of 26657 and 26672. After we will calculate the factors of 26657 and 26672 and find the biggest common factor number .

Step-1: Prime Factorization of 26657

Prime factors of 26657 are 19, 23, 61. Prime factorization of 26657 in exponential form is:

26657 = 19¹ × 23¹ × 61¹

Step-2: Prime Factorization of 26672

Prime factors of 26672 are 2, 1667. Prime factorization of 26672 in exponential form is:

26672 = 2⁴ × 1667¹

Step-3: Factors of 26657

List of positive integer factors of 26657 that divides 26657 without a remainder.

1, 19, 23, 61, 437, 1159, 1403

Step-4: Factors of 26672

List of positive integer factors of 26672 that divides 26657 without a remainder.

1, 2, 4, 8, 16, 1667, 3334, 6668, 13336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26657 and 26672. The biggest common factor number is the GCF number.
So the greatest common factor 26657 and 26672 is 1.

Also check out the Least Common Multiple of 26657 and 26672