What is the Greatest Common Factor of 26925 and 26945?

Greatest common factor (GCF) of 26925 and 26945 is 5.

GCF(26925,26945) = 5

We will now calculate the prime factors of 26925 and 26945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26925 and 26945.

How to find the GCF of 26925 and 26945?

We will first find the prime factorization of 26925 and 26945. After we will calculate the factors of 26925 and 26945 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26945

Prime factors of 26945 are 5, 17, 317. Prime factorization of 26945 in exponential form is:

26945 = 5¹ × 17¹ × 317¹

Step-3: Factors of 26925

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

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

Step-4: Factors of 26945

List of positive integer factors of 26945 that divides 26925 without a remainder.

1, 5, 17, 85, 317, 1585, 5389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26925 and 26945. The biggest common factor number is the GCF number.
So the greatest common factor 26925 and 26945 is 5.

Also check out the Least Common Multiple of 26925 and 26945