What is the Greatest Common Factor of 60915 and 60935?

Greatest common factor (GCF) of 60915 and 60935 is 5.

GCF(60915,60935) = 5

We will now calculate the prime factors of 60915 and 60935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60915 and 60935.

How to find the GCF of 60915 and 60935?

We will first find the prime factorization of 60915 and 60935. After we will calculate the factors of 60915 and 60935 and find the biggest common factor number .

Step-1: Prime Factorization of 60915

Prime factors of 60915 are 3, 5, 31, 131. Prime factorization of 60915 in exponential form is:

60915 = 3¹ × 5¹ × 31¹ × 131¹

Step-2: Prime Factorization of 60935

Prime factors of 60935 are 5, 7, 1741. Prime factorization of 60935 in exponential form is:

60935 = 5¹ × 7¹ × 1741¹

Step-3: Factors of 60915

List of positive integer factors of 60915 that divides 60915 without a remainder.

1, 3, 5, 15, 31, 93, 131, 155, 393, 465, 655, 1965, 4061, 12183, 20305

Step-4: Factors of 60935

List of positive integer factors of 60935 that divides 60915 without a remainder.

1, 5, 7, 35, 1741, 8705, 12187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60915 and 60935. The biggest common factor number is the GCF number.
So the greatest common factor 60915 and 60935 is 5.

Also check out the Least Common Multiple of 60915 and 60935