What is the Greatest Common Factor of 45910 and 45925?

Greatest common factor (GCF) of 45910 and 45925 is 5.

GCF(45910,45925) = 5

We will now calculate the prime factors of 45910 and 45925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45910 and 45925.

How to find the GCF of 45910 and 45925?

We will first find the prime factorization of 45910 and 45925. After we will calculate the factors of 45910 and 45925 and find the biggest common factor number .

Step-1: Prime Factorization of 45910

Prime factors of 45910 are 2, 5, 4591. Prime factorization of 45910 in exponential form is:

45910 = 2¹ × 5¹ × 4591¹

Step-2: 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-3: Factors of 45910

List of positive integer factors of 45910 that divides 45910 without a remainder.

1, 2, 5, 10, 4591, 9182, 22955

Step-4: Factors of 45925

List of positive integer factors of 45925 that divides 45910 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45910 and 45925. The biggest common factor number is the GCF number.
So the greatest common factor 45910 and 45925 is 5.

Also check out the Least Common Multiple of 45910 and 45925