What is the Greatest Common Factor of 26657 and 26677?

Greatest common factor (GCF) of 26657 and 26677 is 1.

GCF(26657,26677) = 1

We will now calculate the prime factors of 26657 and 26677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26657 and 26677.

How to find the GCF of 26657 and 26677?

We will first find the prime factorization of 26657 and 26677. After we will calculate the factors of 26657 and 26677 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 26677

Prime factors of 26677 are 7, 37, 103. Prime factorization of 26677 in exponential form is:

26677 = 7¹ × 37¹ × 103¹

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 26677

List of positive integer factors of 26677 that divides 26657 without a remainder.

1, 7, 37, 103, 259, 721, 3811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26657 and 26677. The biggest common factor number is the GCF number.
So the greatest common factor 26657 and 26677 is 1.

Also check out the Least Common Multiple of 26657 and 26677