What is the Greatest Common Factor of 2738 and 2752?

Greatest common factor (GCF) of 2738 and 2752 is 2.

GCF(2738,2752) = 2

We will now calculate the prime factors of 2738 and 2752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2738 and 2752.

How to find the GCF of 2738 and 2752?

We will first find the prime factorization of 2738 and 2752. After we will calculate the factors of 2738 and 2752 and find the biggest common factor number .

Step-1: Prime Factorization of 2738

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

2738 = 2¹ × 37²

Step-2: Prime Factorization of 2752

Prime factors of 2752 are 2, 43. Prime factorization of 2752 in exponential form is:

2752 = 2⁶ × 43¹

Step-3: Factors of 2738

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

1, 2, 37, 74, 1369

Step-4: Factors of 2752

List of positive integer factors of 2752 that divides 2738 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2738 and 2752. The biggest common factor number is the GCF number.
So the greatest common factor 2738 and 2752 is 2.

Also check out the Least Common Multiple of 2738 and 2752