What is the Greatest Common Factor of 60681 and 60696?

Greatest common factor (GCF) of 60681 and 60696 is 3.

GCF(60681,60696) = 3

We will now calculate the prime factors of 60681 and 60696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60681 and 60696.

How to find the GCF of 60681 and 60696?

We will first find the prime factorization of 60681 and 60696. After we will calculate the factors of 60681 and 60696 and find the biggest common factor number .

Step-1: Prime Factorization of 60681

Prime factors of 60681 are 3, 113, 179. Prime factorization of 60681 in exponential form is:

60681 = 3¹ × 113¹ × 179¹

Step-2: 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-3: Factors of 60681

List of positive integer factors of 60681 that divides 60681 without a remainder.

1, 3, 113, 179, 339, 537, 20227

Step-4: Factors of 60696

List of positive integer factors of 60696 that divides 60681 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60681 and 60696. The biggest common factor number is the GCF number.
So the greatest common factor 60681 and 60696 is 3.

Also check out the Least Common Multiple of 60681 and 60696