What is the Greatest Common Factor of 26659 and 26677?

Greatest common factor (GCF) of 26659 and 26677 is 1.

GCF(26659,26677) = 1

We will now calculate the prime factors of 26659 and 26677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26659 and 26677.

How to find the GCF of 26659 and 26677?

We will first find the prime factorization of 26659 and 26677. After we will calculate the factors of 26659 and 26677 and find the biggest common factor number .

Step-1: Prime Factorization of 26659

Prime factors of 26659 are 53, 503. Prime factorization of 26659 in exponential form is:

26659 = 53¹ × 503¹

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 26659

List of positive integer factors of 26659 that divides 26659 without a remainder.

1, 53, 503

Step-4: Factors of 26677

List of positive integer factors of 26677 that divides 26659 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26659 and 26677. The biggest common factor number is the GCF number.
So the greatest common factor 26659 and 26677 is 1.

Also check out the Least Common Multiple of 26659 and 26677