What is the Greatest Common Factor of 26905 and 26925?

Greatest common factor (GCF) of 26905 and 26925 is 5.

GCF(26905,26925) = 5

We will now calculate the prime factors of 26905 and 26925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26905 and 26925.

How to find the GCF of 26905 and 26925?

We will first find the prime factorization of 26905 and 26925. After we will calculate the factors of 26905 and 26925 and find the biggest common factor number .

Step-1: Prime Factorization of 26905

Prime factors of 26905 are 5, 5381. Prime factorization of 26905 in exponential form is:

26905 = 5¹ × 5381¹

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 26905

List of positive integer factors of 26905 that divides 26905 without a remainder.

1, 5, 5381

Step-4: Factors of 26925

List of positive integer factors of 26925 that divides 26905 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 26905 and 26925. The biggest common factor number is the GCF number.
So the greatest common factor 26905 and 26925 is 5.

Also check out the Least Common Multiple of 26905 and 26925