What is the Greatest Common Factor of 60925 and 60941?

Greatest common factor (GCF) of 60925 and 60941 is 1.

GCF(60925,60941) = 1

We will now calculate the prime factors of 60925 and 60941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60925 and 60941.

How to find the GCF of 60925 and 60941?

We will first find the prime factorization of 60925 and 60941. After we will calculate the factors of 60925 and 60941 and find the biggest common factor number .

Step-1: Prime Factorization of 60925

Prime factors of 60925 are 5, 2437. Prime factorization of 60925 in exponential form is:

60925 = 5² × 2437¹

Step-2: Prime Factorization of 60941

Prime factors of 60941 are 149, 409. Prime factorization of 60941 in exponential form is:

60941 = 149¹ × 409¹

Step-3: Factors of 60925

List of positive integer factors of 60925 that divides 60925 without a remainder.

1, 5, 25, 2437, 12185

Step-4: Factors of 60941

List of positive integer factors of 60941 that divides 60925 without a remainder.

1, 149, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60925 and 60941. The biggest common factor number is the GCF number.
So the greatest common factor 60925 and 60941 is 1.

Also check out the Least Common Multiple of 60925 and 60941