What is the Greatest Common Factor of 60625 and 60641?

Greatest common factor (GCF) of 60625 and 60641 is 1.

GCF(60625,60641) = 1

We will now calculate the prime factors of 60625 and 60641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60625 and 60641.

How to find the GCF of 60625 and 60641?

We will first find the prime factorization of 60625 and 60641. After we will calculate the factors of 60625 and 60641 and find the biggest common factor number .

Step-1: Prime Factorization of 60625

Prime factors of 60625 are 5, 97. Prime factorization of 60625 in exponential form is:

60625 = 5⁴ × 97¹

Step-2: Prime Factorization of 60641

Prime factors of 60641 are 7, 8663. Prime factorization of 60641 in exponential form is:

60641 = 7¹ × 8663¹

Step-3: Factors of 60625

List of positive integer factors of 60625 that divides 60625 without a remainder.

1, 5, 25, 97, 125, 485, 625, 2425, 12125

Step-4: Factors of 60641

List of positive integer factors of 60641 that divides 60625 without a remainder.

1, 7, 8663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60625 and 60641. The biggest common factor number is the GCF number.
So the greatest common factor 60625 and 60641 is 1.

Also check out the Least Common Multiple of 60625 and 60641