What is the Greatest Common Factor of 60681 and 60699?

Greatest common factor (GCF) of 60681 and 60699 is 3.

GCF(60681,60699) = 3

We will now calculate the prime factors of 60681 and 60699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60681 and 60699.

How to find the GCF of 60681 and 60699?

We will first find the prime factorization of 60681 and 60699. After we will calculate the factors of 60681 and 60699 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 60699

Prime factors of 60699 are 3, 20233. Prime factorization of 60699 in exponential form is:

60699 = 3¹ × 20233¹

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 60699

List of positive integer factors of 60699 that divides 60681 without a remainder.

1, 3, 20233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60681 and 60699. The biggest common factor number is the GCF number.
So the greatest common factor 60681 and 60699 is 3.

Also check out the Least Common Multiple of 60681 and 60699