What is the Greatest Common Factor of 664 and 671?

Greatest common factor (GCF) of 664 and 671 is 1.

GCF(664,671) = 1

We will now calculate the prime factors of 664 and 671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 664 and 671.

How to find the GCF of 664 and 671?

We will first find the prime factorization of 664 and 671. After we will calculate the factors of 664 and 671 and find the biggest common factor number .

Step-1: Prime Factorization of 664

Prime factors of 664 are 2, 83. Prime factorization of 664 in exponential form is:

664 = 2³ × 83¹

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 664

List of positive integer factors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332

Step-4: Factors of 671

List of positive integer factors of 671 that divides 664 without a remainder.

1, 11, 61

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 664 and 671. The biggest common factor number is the GCF number.
So the greatest common factor 664 and 671 is 1.

Also check out the Least Common Multiple of 664 and 671