What is the Greatest Common Factor of 2670 and 2680?

Greatest common factor (GCF) of 2670 and 2680 is 10.

GCF(2670,2680) = 10

We will now calculate the prime factors of 2670 and 2680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2670 and 2680.

How to find the GCF of 2670 and 2680?

We will first find the prime factorization of 2670 and 2680. After we will calculate the factors of 2670 and 2680 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2680

Prime factors of 2680 are 2, 5, 67. Prime factorization of 2680 in exponential form is:

2680 = 2³ × 5¹ × 67¹

Step-3: Factors of 2670

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

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

Step-4: Factors of 2680

List of positive integer factors of 2680 that divides 2670 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 67, 134, 268, 335, 536, 670, 1340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2670 and 2680. The biggest common factor number is the GCF number.
So the greatest common factor 2670 and 2680 is 10.

Also check out the Least Common Multiple of 2670 and 2680