What is the Greatest Common Factor of 2736 and 2742?

Greatest common factor (GCF) of 2736 and 2742 is 6.

GCF(2736,2742) = 6

We will now calculate the prime factors of 2736 and 2742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2736 and 2742.

How to find the GCF of 2736 and 2742?

We will first find the prime factorization of 2736 and 2742. After we will calculate the factors of 2736 and 2742 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 2742

Prime factors of 2742 are 2, 3, 457. Prime factorization of 2742 in exponential form is:

2742 = 2¹ × 3¹ × 457¹

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 2742

List of positive integer factors of 2742 that divides 2736 without a remainder.

1, 2, 3, 6, 457, 914, 1371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2736 and 2742. The biggest common factor number is the GCF number.
So the greatest common factor 2736 and 2742 is 6.

Also check out the Least Common Multiple of 2736 and 2742