What is the Greatest Common Factor of 2745 and 2760?

Greatest common factor (GCF) of 2745 and 2760 is 15.

GCF(2745,2760) = 15

We will now calculate the prime factors of 2745 and 2760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2745 and 2760.

How to find the GCF of 2745 and 2760?

We will first find the prime factorization of 2745 and 2760. After we will calculate the factors of 2745 and 2760 and find the biggest common factor number .

Step-1: Prime Factorization of 2745

Prime factors of 2745 are 3, 5, 61. Prime factorization of 2745 in exponential form is:

2745 = 3² × 5¹ × 61¹

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 2745

List of positive integer factors of 2745 that divides 2745 without a remainder.

1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915

Step-4: Factors of 2760

List of positive integer factors of 2760 that divides 2745 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 2745 and 2760. The biggest common factor number is the GCF number.
So the greatest common factor 2745 and 2760 is 15.

Also check out the Least Common Multiple of 2745 and 2760