What is the Greatest Common Factor of 26657 and 26668?

Greatest common factor (GCF) of 26657 and 26668 is 1.

GCF(26657,26668) = 1

We will now calculate the prime factors of 26657 and 26668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26657 and 26668.

How to find the GCF of 26657 and 26668?

We will first find the prime factorization of 26657 and 26668. After we will calculate the factors of 26657 and 26668 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 26668

Prime factors of 26668 are 2, 59, 113. Prime factorization of 26668 in exponential form is:

26668 = 2² × 59¹ × 113¹

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 26668

List of positive integer factors of 26668 that divides 26657 without a remainder.

1, 2, 4, 59, 113, 118, 226, 236, 452, 6667, 13334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26657 and 26668. The biggest common factor number is the GCF number.
So the greatest common factor 26657 and 26668 is 1.

Also check out the Least Common Multiple of 26657 and 26668