What is the Greatest Common Factor of 2780 and 2787?

Greatest common factor (GCF) of 2780 and 2787 is 1.

GCF(2780,2787) = 1

We will now calculate the prime factors of 2780 and 2787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2780 and 2787.

How to find the GCF of 2780 and 2787?

We will first find the prime factorization of 2780 and 2787. After we will calculate the factors of 2780 and 2787 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2787

Prime factors of 2787 are 3, 929. Prime factorization of 2787 in exponential form is:

2787 = 3¹ × 929¹

Step-3: Factors of 2780

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

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

Step-4: Factors of 2787

List of positive integer factors of 2787 that divides 2780 without a remainder.

1, 3, 929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2780 and 2787. The biggest common factor number is the GCF number.
So the greatest common factor 2780 and 2787 is 1.

Also check out the Least Common Multiple of 2780 and 2787