What is the Greatest Common Factor of 45925 and 45931?

Greatest common factor (GCF) of 45925 and 45931 is 1.

GCF(45925,45931) = 1

We will now calculate the prime factors of 45925 and 45931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45925 and 45931.

How to find the GCF of 45925 and 45931?

We will first find the prime factorization of 45925 and 45931. After we will calculate the factors of 45925 and 45931 and find the biggest common factor number .

Step-1: Prime Factorization of 45925

Prime factors of 45925 are 5, 11, 167. Prime factorization of 45925 in exponential form is:

45925 = 5² × 11¹ × 167¹

Step-2: Prime Factorization of 45931

Prime factors of 45931 are 23, 1997. Prime factorization of 45931 in exponential form is:

45931 = 23¹ × 1997¹

Step-3: Factors of 45925

List of positive integer factors of 45925 that divides 45925 without a remainder.

1, 5, 11, 25, 55, 167, 275, 835, 1837, 4175, 9185

Step-4: Factors of 45931

List of positive integer factors of 45931 that divides 45925 without a remainder.

1, 23, 1997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45925 and 45931. The biggest common factor number is the GCF number.
So the greatest common factor 45925 and 45931 is 1.

Also check out the Least Common Multiple of 45925 and 45931