What is the Greatest Common Factor of 60909 and 60925?

Greatest common factor (GCF) of 60909 and 60925 is 1.

GCF(60909,60925) = 1

We will now calculate the prime factors of 60909 and 60925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60909 and 60925.

How to find the GCF of 60909 and 60925?

We will first find the prime factorization of 60909 and 60925. After we will calculate the factors of 60909 and 60925 and find the biggest common factor number .

Step-1: Prime Factorization of 60909

Prime factors of 60909 are 3, 79, 257. Prime factorization of 60909 in exponential form is:

60909 = 3¹ × 79¹ × 257¹

Step-2: Prime Factorization of 60925

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

60925 = 5² × 2437¹

Step-3: Factors of 60909

List of positive integer factors of 60909 that divides 60909 without a remainder.

1, 3, 79, 237, 257, 771, 20303

Step-4: Factors of 60925

List of positive integer factors of 60925 that divides 60909 without a remainder.

1, 5, 25, 2437, 12185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60909 and 60925. The biggest common factor number is the GCF number.
So the greatest common factor 60909 and 60925 is 1.

Also check out the Least Common Multiple of 60909 and 60925