What is the Greatest Common Factor of 18925 and 18945?

Greatest common factor (GCF) of 18925 and 18945 is 5.

GCF(18925,18945) = 5

We will now calculate the prime factors of 18925 and 18945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18925 and 18945.

How to find the GCF of 18925 and 18945?

We will first find the prime factorization of 18925 and 18945. After we will calculate the factors of 18925 and 18945 and find the biggest common factor number .

Step-1: Prime Factorization of 18925

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

18925 = 5² × 757¹

Step-2: Prime Factorization of 18945

Prime factors of 18945 are 3, 5, 421. Prime factorization of 18945 in exponential form is:

18945 = 3² × 5¹ × 421¹

Step-3: Factors of 18925

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

1, 5, 25, 757, 3785

Step-4: Factors of 18945

List of positive integer factors of 18945 that divides 18925 without a remainder.

1, 3, 5, 9, 15, 45, 421, 1263, 2105, 3789, 6315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18925 and 18945. The biggest common factor number is the GCF number.
So the greatest common factor 18925 and 18945 is 5.

Also check out the Least Common Multiple of 18925 and 18945