What is the Greatest Common Factor of 18914 and 18925?

Greatest common factor (GCF) of 18914 and 18925 is 1.

GCF(18914,18925) = 1

We will now calculate the prime factors of 18914 and 18925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18914 and 18925.

How to find the GCF of 18914 and 18925?

We will first find the prime factorization of 18914 and 18925. After we will calculate the factors of 18914 and 18925 and find the biggest common factor number .

Step-1: Prime Factorization of 18914

Prime factors of 18914 are 2, 7, 193. Prime factorization of 18914 in exponential form is:

18914 = 2¹ × 7² × 193¹

Step-2: Prime Factorization of 18925

Prime factors of 18925 are 5, 757. Prime factorization of 18925 in exponential form is:

18925 = 5² × 757¹

Step-3: Factors of 18914

List of positive integer factors of 18914 that divides 18914 without a remainder.

1, 2, 7, 14, 49, 98, 193, 386, 1351, 2702, 9457

Step-4: Factors of 18925

List of positive integer factors of 18925 that divides 18914 without a remainder.

1, 5, 25, 757, 3785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18914 and 18925. The biggest common factor number is the GCF number.
So the greatest common factor 18914 and 18925 is 1.

Also check out the Least Common Multiple of 18914 and 18925