What is the Greatest Common Factor of 2760 and 2775?

Greatest common factor (GCF) of 2760 and 2775 is 15.

GCF(2760,2775) = 15

We will now calculate the prime factors of 2760 and 2775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2760 and 2775.

How to find the GCF of 2760 and 2775?

We will first find the prime factorization of 2760 and 2775. After we will calculate the factors of 2760 and 2775 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 2775

Prime factors of 2775 are 3, 5, 37. Prime factorization of 2775 in exponential form is:

2775 = 3¹ × 5² × 37¹

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 2775

List of positive integer factors of 2775 that divides 2760 without a remainder.

1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2760 and 2775. The biggest common factor number is the GCF number.
So the greatest common factor 2760 and 2775 is 15.

Also check out the Least Common Multiple of 2760 and 2775