What is the Greatest Common Factor of 2641 and 2660?

Greatest common factor (GCF) of 2641 and 2660 is 19.

GCF(2641,2660) = 19

We will now calculate the prime factors of 2641 and 2660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2641 and 2660.

How to find the GCF of 2641 and 2660?

We will first find the prime factorization of 2641 and 2660. After we will calculate the factors of 2641 and 2660 and find the biggest common factor number .

Step-1: Prime Factorization of 2641

Prime factors of 2641 are 19, 139. Prime factorization of 2641 in exponential form is:

2641 = 19¹ × 139¹

Step-2: Prime Factorization of 2660

Prime factors of 2660 are 2, 5, 7, 19. Prime factorization of 2660 in exponential form is:

2660 = 2² × 5¹ × 7¹ × 19¹

Step-3: Factors of 2641

List of positive integer factors of 2641 that divides 2641 without a remainder.

1, 19, 139

Step-4: Factors of 2660

List of positive integer factors of 2660 that divides 2641 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2641 and 2660. The biggest common factor number is the GCF number.
So the greatest common factor 2641 and 2660 is 19.

Also check out the Least Common Multiple of 2641 and 2660