What is the Greatest Common Factor of 60651 and 60666?

Greatest common factor (GCF) of 60651 and 60666 is 3.

GCF(60651,60666) = 3

We will now calculate the prime factors of 60651 and 60666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60651 and 60666.

How to find the GCF of 60651 and 60666?

We will first find the prime factorization of 60651 and 60666. After we will calculate the factors of 60651 and 60666 and find the biggest common factor number .

Step-1: Prime Factorization of 60651

Prime factors of 60651 are 3, 23, 293. Prime factorization of 60651 in exponential form is:

60651 = 3² × 23¹ × 293¹

Step-2: Prime Factorization of 60666

Prime factors of 60666 are 2, 3, 10111. Prime factorization of 60666 in exponential form is:

60666 = 2¹ × 3¹ × 10111¹

Step-3: Factors of 60651

List of positive integer factors of 60651 that divides 60651 without a remainder.

1, 3, 9, 23, 69, 207, 293, 879, 2637, 6739, 20217

Step-4: Factors of 60666

List of positive integer factors of 60666 that divides 60651 without a remainder.

1, 2, 3, 6, 10111, 20222, 30333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60651 and 60666. The biggest common factor number is the GCF number.
So the greatest common factor 60651 and 60666 is 3.

Also check out the Least Common Multiple of 60651 and 60666