What is the Greatest Common Factor of 2752 and 2756?

Greatest common factor (GCF) of 2752 and 2756 is 4.

GCF(2752,2756) = 4

We will now calculate the prime factors of 2752 and 2756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2752 and 2756.

How to find the GCF of 2752 and 2756?

We will first find the prime factorization of 2752 and 2756. After we will calculate the factors of 2752 and 2756 and find the biggest common factor number .

Step-1: Prime Factorization of 2752

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

2752 = 2⁶ × 43¹

Step-2: Prime Factorization of 2756

Prime factors of 2756 are 2, 13, 53. Prime factorization of 2756 in exponential form is:

2756 = 2² × 13¹ × 53¹

Step-3: Factors of 2752

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

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

Step-4: Factors of 2756

List of positive integer factors of 2756 that divides 2752 without a remainder.

1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2752 and 2756. The biggest common factor number is the GCF number.
So the greatest common factor 2752 and 2756 is 4.

Also check out the Least Common Multiple of 2752 and 2756