What is the Greatest Common Factor of 2664 and 2670?

Greatest common factor (GCF) of 2664 and 2670 is 6.

GCF(2664,2670) = 6

We will now calculate the prime factors of 2664 and 2670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2664 and 2670.

How to find the GCF of 2664 and 2670?

We will first find the prime factorization of 2664 and 2670. After we will calculate the factors of 2664 and 2670 and find the biggest common factor number .

Step-1: Prime Factorization of 2664

Prime factors of 2664 are 2, 3, 37. Prime factorization of 2664 in exponential form is:

2664 = 2³ × 3² × 37¹

Step-2: Prime Factorization of 2670

Prime factors of 2670 are 2, 3, 5, 89. Prime factorization of 2670 in exponential form is:

2670 = 2¹ × 3¹ × 5¹ × 89¹

Step-3: Factors of 2664

List of positive integer factors of 2664 that divides 2664 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332

Step-4: Factors of 2670

List of positive integer factors of 2670 that divides 2664 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2664 and 2670. The biggest common factor number is the GCF number.
So the greatest common factor 2664 and 2670 is 6.

Also check out the Least Common Multiple of 2664 and 2670