What is the Greatest Common Factor of 26665 and 26675?

Greatest common factor (GCF) of 26665 and 26675 is 5.

GCF(26665,26675) = 5

We will now calculate the prime factors of 26665 and 26675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26665 and 26675.

How to find the GCF of 26665 and 26675?

We will first find the prime factorization of 26665 and 26675. After we will calculate the factors of 26665 and 26675 and find the biggest common factor number .

Step-1: Prime Factorization of 26665

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

26665 = 5¹ × 5333¹

Step-2: Prime Factorization of 26675

Prime factors of 26675 are 5, 11, 97. Prime factorization of 26675 in exponential form is:

26675 = 5² × 11¹ × 97¹

Step-3: Factors of 26665

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

1, 5, 5333

Step-4: Factors of 26675

List of positive integer factors of 26675 that divides 26665 without a remainder.

1, 5, 11, 25, 55, 97, 275, 485, 1067, 2425, 5335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26665 and 26675. The biggest common factor number is the GCF number.
So the greatest common factor 26665 and 26675 is 5.

Also check out the Least Common Multiple of 26665 and 26675