What is the Greatest Common Factor of 60675 and 60695?

Greatest common factor (GCF) of 60675 and 60695 is 5.

GCF(60675,60695) = 5

We will now calculate the prime factors of 60675 and 60695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60675 and 60695.

How to find the GCF of 60675 and 60695?

We will first find the prime factorization of 60675 and 60695. After we will calculate the factors of 60675 and 60695 and find the biggest common factor number .

Step-1: Prime Factorization of 60675

Prime factors of 60675 are 3, 5, 809. Prime factorization of 60675 in exponential form is:

60675 = 3¹ × 5² × 809¹

Step-2: Prime Factorization of 60695

Prime factors of 60695 are 5, 61, 199. Prime factorization of 60695 in exponential form is:

60695 = 5¹ × 61¹ × 199¹

Step-3: Factors of 60675

List of positive integer factors of 60675 that divides 60675 without a remainder.

1, 3, 5, 15, 25, 75, 809, 2427, 4045, 12135, 20225

Step-4: Factors of 60695

List of positive integer factors of 60695 that divides 60675 without a remainder.

1, 5, 61, 199, 305, 995, 12139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60675 and 60695. The biggest common factor number is the GCF number.
So the greatest common factor 60675 and 60695 is 5.

Also check out the Least Common Multiple of 60675 and 60695