What is the Greatest Common Factor of 2760 and 2779?

Greatest common factor (GCF) of 2760 and 2779 is 1.

GCF(2760,2779) = 1

We will now calculate the prime factors of 2760 and 2779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2760 and 2779.

How to find the GCF of 2760 and 2779?

We will first find the prime factorization of 2760 and 2779. After we will calculate the factors of 2760 and 2779 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 2779

Prime factors of 2779 are 7, 397. Prime factorization of 2779 in exponential form is:

2779 = 7¹ × 397¹

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 2779

List of positive integer factors of 2779 that divides 2760 without a remainder.

1, 7, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2760 and 2779. The biggest common factor number is the GCF number.
So the greatest common factor 2760 and 2779 is 1.

Also check out the Least Common Multiple of 2760 and 2779