What is the Greatest Common Factor of 18925 and 18941?

Greatest common factor (GCF) of 18925 and 18941 is 1.

GCF(18925,18941) = 1

We will now calculate the prime factors of 18925 and 18941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18925 and 18941.

How to find the GCF of 18925 and 18941?

We will first find the prime factorization of 18925 and 18941. After we will calculate the factors of 18925 and 18941 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 18941

Prime factors of 18941 are 13, 31, 47. Prime factorization of 18941 in exponential form is:

18941 = 13¹ × 31¹ × 47¹

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 18941

List of positive integer factors of 18941 that divides 18925 without a remainder.

1, 13, 31, 47, 403, 611, 1457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18925 and 18941. The biggest common factor number is the GCF number.
So the greatest common factor 18925 and 18941 is 1.

Also check out the Least Common Multiple of 18925 and 18941