What is the Greatest Common Factor of 26925 and 26932?

Greatest common factor (GCF) of 26925 and 26932 is 1.

GCF(26925,26932) = 1

We will now calculate the prime factors of 26925 and 26932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26925 and 26932.

How to find the GCF of 26925 and 26932?

We will first find the prime factorization of 26925 and 26932. After we will calculate the factors of 26925 and 26932 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 26932

Prime factors of 26932 are 2, 6733. Prime factorization of 26932 in exponential form is:

26932 = 2² × 6733¹

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 26932

List of positive integer factors of 26932 that divides 26925 without a remainder.

1, 2, 4, 6733, 13466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26925 and 26932. The biggest common factor number is the GCF number.
So the greatest common factor 26925 and 26932 is 1.

Also check out the Least Common Multiple of 26925 and 26932