What is the Greatest Common Factor of 2760 and 2765?

Greatest common factor (GCF) of 2760 and 2765 is 5.

GCF(2760,2765) = 5

We will now calculate the prime factors of 2760 and 2765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2760 and 2765.

How to find the GCF of 2760 and 2765?

We will first find the prime factorization of 2760 and 2765. After we will calculate the factors of 2760 and 2765 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 2765

Prime factors of 2765 are 5, 7, 79. Prime factorization of 2765 in exponential form is:

2765 = 5¹ × 7¹ × 79¹

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 2765

List of positive integer factors of 2765 that divides 2760 without a remainder.

1, 5, 7, 35, 79, 395, 553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2760 and 2765. The biggest common factor number is the GCF number.
So the greatest common factor 2760 and 2765 is 5.

Also check out the Least Common Multiple of 2760 and 2765