What is the Greatest Common Factor of 60906 and 60915?

Greatest common factor (GCF) of 60906 and 60915 is 3.

GCF(60906,60915) = 3

We will now calculate the prime factors of 60906 and 60915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60906 and 60915.

How to find the GCF of 60906 and 60915?

We will first find the prime factorization of 60906 and 60915. After we will calculate the factors of 60906 and 60915 and find the biggest common factor number .

Step-1: Prime Factorization of 60906

Prime factors of 60906 are 2, 3, 10151. Prime factorization of 60906 in exponential form is:

60906 = 2¹ × 3¹ × 10151¹

Step-2: 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-3: Factors of 60906

List of positive integer factors of 60906 that divides 60906 without a remainder.

1, 2, 3, 6, 10151, 20302, 30453

Step-4: Factors of 60915

List of positive integer factors of 60915 that divides 60906 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60906 and 60915. The biggest common factor number is the GCF number.
So the greatest common factor 60906 and 60915 is 3.

Also check out the Least Common Multiple of 60906 and 60915