What is the Greatest Common Factor of 60616 and 60625?

Greatest common factor (GCF) of 60616 and 60625 is 1.

GCF(60616,60625) = 1

We will now calculate the prime factors of 60616 and 60625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60616 and 60625.

How to find the GCF of 60616 and 60625?

We will first find the prime factorization of 60616 and 60625. After we will calculate the factors of 60616 and 60625 and find the biggest common factor number .

Step-1: Prime Factorization of 60616

Prime factors of 60616 are 2, 7577. Prime factorization of 60616 in exponential form is:

60616 = 2³ × 7577¹

Step-2: Prime Factorization of 60625

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

60625 = 5⁴ × 97¹

Step-3: Factors of 60616

List of positive integer factors of 60616 that divides 60616 without a remainder.

1, 2, 4, 8, 7577, 15154, 30308

Step-4: Factors of 60625

List of positive integer factors of 60625 that divides 60616 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60616 and 60625. The biggest common factor number is the GCF number.
So the greatest common factor 60616 and 60625 is 1.

Also check out the Least Common Multiple of 60616 and 60625