What is the Greatest Common Factor of 2728 and 2736?

Greatest common factor (GCF) of 2728 and 2736 is 8.

GCF(2728,2736) = 8

We will now calculate the prime factors of 2728 and 2736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2728 and 2736.

How to find the GCF of 2728 and 2736?

We will first find the prime factorization of 2728 and 2736. After we will calculate the factors of 2728 and 2736 and find the biggest common factor number .

Step-1: Prime Factorization of 2728

Prime factors of 2728 are 2, 11, 31. Prime factorization of 2728 in exponential form is:

2728 = 2³ × 11¹ × 31¹

Step-2: Prime Factorization of 2736

Prime factors of 2736 are 2, 3, 19. Prime factorization of 2736 in exponential form is:

2736 = 2⁴ × 3² × 19¹

Step-3: Factors of 2728

List of positive integer factors of 2728 that divides 2728 without a remainder.

1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364

Step-4: Factors of 2736

List of positive integer factors of 2736 that divides 2728 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57, 72, 76, 114, 144, 152, 171, 228, 304, 342, 456, 684, 912, 1368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2728 and 2736. The biggest common factor number is the GCF number.
So the greatest common factor 2728 and 2736 is 8.

Also check out the Least Common Multiple of 2728 and 2736