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What is the Greatest Common Factor of 662 and 670?

Greatest common factor (GCF) of 662 and 670 is 2.

GCF(662,670) = 2

We will now calculate the prime factors of 662 and 670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 662 and 670.

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How to find the GCF of 662 and 670?

We will first find the prime factorization of 662 and 670. After we will calculate the factors of 662 and 670 and find the biggest common factor number .

Step-1: Prime Factorization of 662

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

662 = 21 × 3311

Step-2: Prime Factorization of 670

Prime factors of 670 are 2, 5, 67. Prime factorization of 670 in exponential form is:

670 = 21 × 51 × 671

Step-3: Factors of 662

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

1, 2, 331

Step-4: Factors of 670

List of positive integer factors of 670 that divides 662 without a remainder.

1, 2, 5, 10, 67, 134, 335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 662 and 670. The biggest common factor number is the GCF number.
So the greatest common factor 662 and 670 is 2.

Also check out the Least Common Multiple of 662 and 670