What is the Greatest Common Factor of 2720 and 2738?

Greatest common factor (GCF) of 2720 and 2738 is 2.

GCF(2720,2738) = 2

We will now calculate the prime factors of 2720 and 2738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2720 and 2738.

How to find the GCF of 2720 and 2738?

We will first find the prime factorization of 2720 and 2738. After we will calculate the factors of 2720 and 2738 and find the biggest common factor number .

Step-1: Prime Factorization of 2720

Prime factors of 2720 are 2, 5, 17. Prime factorization of 2720 in exponential form is:

2720 = 2⁵ × 5¹ × 17¹

Step-2: Prime Factorization of 2738

Prime factors of 2738 are 2, 37. Prime factorization of 2738 in exponential form is:

2738 = 2¹ × 37²

Step-3: Factors of 2720

List of positive integer factors of 2720 that divides 2720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360

Step-4: Factors of 2738

List of positive integer factors of 2738 that divides 2720 without a remainder.

1, 2, 37, 74, 1369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2720 and 2738. The biggest common factor number is the GCF number.
So the greatest common factor 2720 and 2738 is 2.

Also check out the Least Common Multiple of 2720 and 2738