What is the Greatest Common Factor of 2760 and 2780?

Greatest common factor (GCF) of 2760 and 2780 is 20.

GCF(2760,2780) = 20

We will now calculate the prime factors of 2760 and 2780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2760 and 2780.

How to find the GCF of 2760 and 2780?

We will first find the prime factorization of 2760 and 2780. After we will calculate the factors of 2760 and 2780 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2780

Prime factors of 2780 are 2, 5, 139. Prime factorization of 2780 in exponential form is:

2780 = 2² × 5¹ × 139¹

Step-3: Factors of 2760

List of positive integer factors of 2760 that divides 2760 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

Step-4: Factors of 2780

List of positive integer factors of 2780 that divides 2760 without a remainder.

1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2760 and 2780. The biggest common factor number is the GCF number.
So the greatest common factor 2760 and 2780 is 20.

Also check out the Least Common Multiple of 2760 and 2780