What is the Greatest Common Factor of 654 and 662?

Greatest common factor (GCF) of 654 and 662 is 2.

GCF(654,662) = 2

We will now calculate the prime factors of 654 and 662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 654 and 662.

How to find the GCF of 654 and 662?

We will first find the prime factorization of 654 and 662. After we will calculate the factors of 654 and 662 and find the biggest common factor number .

Step-1: Prime Factorization of 654

Prime factors of 654 are 2, 3, 109. Prime factorization of 654 in exponential form is:

654 = 2¹ × 3¹ × 109¹

Step-2: Prime Factorization of 662

Prime factors of 662 are 2, 331. Prime factorization of 662 in exponential form is:

662 = 2¹ × 331¹

Step-3: Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327

Step-4: Factors of 662

List of positive integer factors of 662 that divides 654 without a remainder.

1, 2, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 654 and 662. The biggest common factor number is the GCF number.
So the greatest common factor 654 and 662 is 2.

Also check out the Least Common Multiple of 654 and 662