What is the Greatest Common Factor of 45914 and 45925?

Greatest common factor (GCF) of 45914 and 45925 is 11.

GCF(45914,45925) = 11

We will now calculate the prime factors of 45914 and 45925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45914 and 45925.

How to find the GCF of 45914 and 45925?

We will first find the prime factorization of 45914 and 45925. After we will calculate the factors of 45914 and 45925 and find the biggest common factor number .

Step-1: Prime Factorization of 45914

Prime factors of 45914 are 2, 11, 2087. Prime factorization of 45914 in exponential form is:

45914 = 2¹ × 11¹ × 2087¹

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 45914

List of positive integer factors of 45914 that divides 45914 without a remainder.

1, 2, 11, 22, 2087, 4174, 22957

Step-4: Factors of 45925

List of positive integer factors of 45925 that divides 45914 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 45914 and 45925. The biggest common factor number is the GCF number.
So the greatest common factor 45914 and 45925 is 11.

Also check out the Least Common Multiple of 45914 and 45925