What is the Greatest Common Factor of 2740 and 2760?

Greatest common factor (GCF) of 2740 and 2760 is 20.

GCF(2740,2760) = 20

We will now calculate the prime factors of 2740 and 2760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2740 and 2760.

How to find the GCF of 2740 and 2760?

We will first find the prime factorization of 2740 and 2760. After we will calculate the factors of 2740 and 2760 and find the biggest common factor number .

Step-1: Prime Factorization of 2740

Prime factors of 2740 are 2, 5, 137. Prime factorization of 2740 in exponential form is:

2740 = 2² × 5¹ × 137¹

Step-2: Prime Factorization of 2760

Prime factors of 2760 are 2, 3, 5, 23. Prime factorization of 2760 in exponential form is:

2760 = 2³ × 3¹ × 5¹ × 23¹

Step-3: Factors of 2740

List of positive integer factors of 2740 that divides 2740 without a remainder.

1, 2, 4, 5, 10, 20, 137, 274, 548, 685, 1370

Step-4: Factors of 2760

List of positive integer factors of 2760 that divides 2740 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2740 and 2760. The biggest common factor number is the GCF number.
So the greatest common factor 2740 and 2760 is 20.

Also check out the Least Common Multiple of 2740 and 2760