What is the Greatest Common Factor of 26915 and 26925?

Greatest common factor (GCF) of 26915 and 26925 is 5.

GCF(26915,26925) = 5

We will now calculate the prime factors of 26915 and 26925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26915 and 26925.

How to find the GCF of 26915 and 26925?

We will first find the prime factorization of 26915 and 26925. After we will calculate the factors of 26915 and 26925 and find the biggest common factor number .

Step-1: Prime Factorization of 26915

Prime factors of 26915 are 5, 7, 769. Prime factorization of 26915 in exponential form is:

26915 = 5¹ × 7¹ × 769¹

Step-2: Prime Factorization of 26925

Prime factors of 26925 are 3, 5, 359. Prime factorization of 26925 in exponential form is:

26925 = 3¹ × 5² × 359¹

Step-3: Factors of 26915

List of positive integer factors of 26915 that divides 26915 without a remainder.

1, 5, 7, 35, 769, 3845, 5383

Step-4: Factors of 26925

List of positive integer factors of 26925 that divides 26915 without a remainder.

1, 3, 5, 15, 25, 75, 359, 1077, 1795, 5385, 8975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26915 and 26925. The biggest common factor number is the GCF number.
So the greatest common factor 26915 and 26925 is 5.

Also check out the Least Common Multiple of 26915 and 26925