What is the Greatest Common Factor of 2736 and 2749?

Greatest common factor (GCF) of 2736 and 2749 is 1.

GCF(2736,2749) = 1

We will now calculate the prime factors of 2736 and 2749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2736 and 2749.

How to find the GCF of 2736 and 2749?

We will first find the prime factorization of 2736 and 2749. After we will calculate the factors of 2736 and 2749 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2749

Prime factors of 2749 are 2749. Prime factorization of 2749 in exponential form is:

2749 = 2749¹

Step-3: Factors of 2736

List of positive integer factors of 2736 that divides 2736 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

Step-4: Factors of 2749

List of positive integer factors of 2749 that divides 2736 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2736 and 2749. The biggest common factor number is the GCF number.
So the greatest common factor 2736 and 2749 is 1.

Also check out the Least Common Multiple of 2736 and 2749