What is the Greatest Common Factor of 60942 and 60956?

Greatest common factor (GCF) of 60942 and 60956 is 14.

GCF(60942,60956) = 14

We will now calculate the prime factors of 60942 and 60956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60942 and 60956.

How to find the GCF of 60942 and 60956?

We will first find the prime factorization of 60942 and 60956. After we will calculate the factors of 60942 and 60956 and find the biggest common factor number .

Step-1: Prime Factorization of 60942

Prime factors of 60942 are 2, 3, 7, 1451. Prime factorization of 60942 in exponential form is:

60942 = 2¹ × 3¹ × 7¹ × 1451¹

Step-2: Prime Factorization of 60956

Prime factors of 60956 are 2, 7, 311. Prime factorization of 60956 in exponential form is:

60956 = 2² × 7² × 311¹

Step-3: Factors of 60942

List of positive integer factors of 60942 that divides 60942 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1451, 2902, 4353, 8706, 10157, 20314, 30471

Step-4: Factors of 60956

List of positive integer factors of 60956 that divides 60942 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 311, 622, 1244, 2177, 4354, 8708, 15239, 30478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60942 and 60956. The biggest common factor number is the GCF number.
So the greatest common factor 60942 and 60956 is 14.

Also check out the Least Common Multiple of 60942 and 60956