What is the Greatest Common Factor of 60936 and 60942?

Greatest common factor (GCF) of 60936 and 60942 is 6.

GCF(60936,60942) = 6

We will now calculate the prime factors of 60936 and 60942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60936 and 60942.

How to find the GCF of 60936 and 60942?

We will first find the prime factorization of 60936 and 60942. After we will calculate the factors of 60936 and 60942 and find the biggest common factor number .

Step-1: Prime Factorization of 60936

Prime factors of 60936 are 2, 3, 2539. Prime factorization of 60936 in exponential form is:

60936 = 2³ × 3¹ × 2539¹

Step-2: 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-3: Factors of 60936

List of positive integer factors of 60936 that divides 60936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2539, 5078, 7617, 10156, 15234, 20312, 30468

Step-4: Factors of 60942

List of positive integer factors of 60942 that divides 60936 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60936 and 60942. The biggest common factor number is the GCF number.
So the greatest common factor 60936 and 60942 is 6.

Also check out the Least Common Multiple of 60936 and 60942