What is the Greatest Common Factor of 60696 and 60708?

Greatest common factor (GCF) of 60696 and 60708 is 12.

GCF(60696,60708) = 12

We will now calculate the prime factors of 60696 and 60708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60696 and 60708.

How to find the GCF of 60696 and 60708?

We will first find the prime factorization of 60696 and 60708. After we will calculate the factors of 60696 and 60708 and find the biggest common factor number .

Step-1: Prime Factorization of 60696

Prime factors of 60696 are 2, 3, 281. Prime factorization of 60696 in exponential form is:

60696 = 2³ × 3³ × 281¹

Step-2: Prime Factorization of 60708

Prime factors of 60708 are 2, 3, 5059. Prime factorization of 60708 in exponential form is:

60708 = 2² × 3¹ × 5059¹

Step-3: Factors of 60696

List of positive integer factors of 60696 that divides 60696 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 281, 562, 843, 1124, 1686, 2248, 2529, 3372, 5058, 6744, 7587, 10116, 15174, 20232, 30348

Step-4: Factors of 60708

List of positive integer factors of 60708 that divides 60696 without a remainder.

1, 2, 3, 4, 6, 12, 5059, 10118, 15177, 20236, 30354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60696 and 60708. The biggest common factor number is the GCF number.
So the greatest common factor 60696 and 60708 is 12.

Also check out the Least Common Multiple of 60696 and 60708