What is the Greatest Common Factor of 60906 and 60916?

Greatest common factor (GCF) of 60906 and 60916 is 2.

GCF(60906,60916) = 2

We will now calculate the prime factors of 60906 and 60916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60906 and 60916.

How to find the GCF of 60906 and 60916?

We will first find the prime factorization of 60906 and 60916. After we will calculate the factors of 60906 and 60916 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 60916

Prime factors of 60916 are 2, 97, 157. Prime factorization of 60916 in exponential form is:

60916 = 2² × 97¹ × 157¹

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 60916

List of positive integer factors of 60916 that divides 60906 without a remainder.

1, 2, 4, 97, 157, 194, 314, 388, 628, 15229, 30458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60906 and 60916. The biggest common factor number is the GCF number.
So the greatest common factor 60906 and 60916 is 2.

Also check out the Least Common Multiple of 60906 and 60916