What is the Greatest Common Factor of 2739 and 2757?

Greatest common factor (GCF) of 2739 and 2757 is 3.

GCF(2739,2757) = 3

We will now calculate the prime factors of 2739 and 2757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2739 and 2757.

How to find the GCF of 2739 and 2757?

We will first find the prime factorization of 2739 and 2757. After we will calculate the factors of 2739 and 2757 and find the biggest common factor number .

Step-1: Prime Factorization of 2739

Prime factors of 2739 are 3, 11, 83. Prime factorization of 2739 in exponential form is:

2739 = 3¹ × 11¹ × 83¹

Step-2: Prime Factorization of 2757

Prime factors of 2757 are 3, 919. Prime factorization of 2757 in exponential form is:

2757 = 3¹ × 919¹

Step-3: Factors of 2739

List of positive integer factors of 2739 that divides 2739 without a remainder.

1, 3, 11, 33, 83, 249, 913

Step-4: Factors of 2757

List of positive integer factors of 2757 that divides 2739 without a remainder.

1, 3, 919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2739 and 2757. The biggest common factor number is the GCF number.
So the greatest common factor 2739 and 2757 is 3.

Also check out the Least Common Multiple of 2739 and 2757