What is the Greatest Common Factor of 914 and 925?

Greatest common factor (GCF) of 914 and 925 is 1.

GCF(914,925) = 1

We will now calculate the prime factors of 914 and 925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 914 and 925.

How to find the GCF of 914 and 925?

We will first find the prime factorization of 914 and 925. After we will calculate the factors of 914 and 925 and find the biggest common factor number .

Step-1: Prime Factorization of 914

Prime factors of 914 are 2, 457. Prime factorization of 914 in exponential form is:

914 = 2¹ × 457¹

Step-2: Prime Factorization of 925

Prime factors of 925 are 5, 37. Prime factorization of 925 in exponential form is:

925 = 5² × 37¹

Step-3: Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1, 2, 457

Step-4: Factors of 925

List of positive integer factors of 925 that divides 914 without a remainder.

1, 5, 25, 37, 185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 914 and 925. The biggest common factor number is the GCF number.
So the greatest common factor 914 and 925 is 1.

Also check out the Least Common Multiple of 914 and 925