What is the Greatest Common Factor of 26657 and 26665?

Greatest common factor (GCF) of 26657 and 26665 is 1.

GCF(26657,26665) = 1

We will now calculate the prime factors of 26657 and 26665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26657 and 26665.

How to find the GCF of 26657 and 26665?

We will first find the prime factorization of 26657 and 26665. After we will calculate the factors of 26657 and 26665 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 26665

Prime factors of 26665 are 5, 5333. Prime factorization of 26665 in exponential form is:

26665 = 5¹ × 5333¹

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 26665

List of positive integer factors of 26665 that divides 26657 without a remainder.

1, 5, 5333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26657 and 26665. The biggest common factor number is the GCF number.
So the greatest common factor 26657 and 26665 is 1.

Also check out the Least Common Multiple of 26657 and 26665