What is the Greatest Common Factor of 660 and 671?

Greatest common factor (GCF) of 660 and 671 is 11.

GCF(660,671) = 11

We will now calculate the prime factors of 660 and 671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 660 and 671.

How to find the GCF of 660 and 671?

We will first find the prime factorization of 660 and 671. After we will calculate the factors of 660 and 671 and find the biggest common factor number .

Step-1: Prime Factorization of 660

Prime factors of 660 are 2, 3, 5, 11. Prime factorization of 660 in exponential form is:

660 = 2² × 3¹ × 5¹ × 11¹

Step-2: Prime Factorization of 671

Prime factors of 671 are 11, 61. Prime factorization of 671 in exponential form is:

671 = 11¹ × 61¹

Step-3: Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330

Step-4: Factors of 671

List of positive integer factors of 671 that divides 660 without a remainder.

1, 11, 61

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 660 and 671. The biggest common factor number is the GCF number.
So the greatest common factor 660 and 671 is 11.

Also check out the Least Common Multiple of 660 and 671