What is the Greatest Common Factor of 26625 and 26635?

Greatest common factor (GCF) of 26625 and 26635 is 5.

GCF(26625,26635) = 5

We will now calculate the prime factors of 26625 and 26635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26625 and 26635.

How to find the GCF of 26625 and 26635?

We will first find the prime factorization of 26625 and 26635. After we will calculate the factors of 26625 and 26635 and find the biggest common factor number .

Step-1: Prime Factorization of 26625

Prime factors of 26625 are 3, 5, 71. Prime factorization of 26625 in exponential form is:

26625 = 3¹ × 5³ × 71¹

Step-2: Prime Factorization of 26635

Prime factors of 26635 are 5, 7, 761. Prime factorization of 26635 in exponential form is:

26635 = 5¹ × 7¹ × 761¹

Step-3: Factors of 26625

List of positive integer factors of 26625 that divides 26625 without a remainder.

1, 3, 5, 15, 25, 71, 75, 125, 213, 355, 375, 1065, 1775, 5325, 8875

Step-4: Factors of 26635

List of positive integer factors of 26635 that divides 26625 without a remainder.

1, 5, 7, 35, 761, 3805, 5327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26625 and 26635. The biggest common factor number is the GCF number.
So the greatest common factor 26625 and 26635 is 5.

Also check out the Least Common Multiple of 26625 and 26635