What is the Greatest Common Factor of 2749 and 2763?

Greatest common factor (GCF) of 2749 and 2763 is 1.

GCF(2749,2763) = 1

We will now calculate the prime factors of 2749 and 2763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2749 and 2763.

How to find the GCF of 2749 and 2763?

We will first find the prime factorization of 2749 and 2763. After we will calculate the factors of 2749 and 2763 and find the biggest common factor number .

Step-1: Prime Factorization of 2749

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

2749 = 2749¹

Step-2: Prime Factorization of 2763

Prime factors of 2763 are 3, 307. Prime factorization of 2763 in exponential form is:

2763 = 3² × 307¹

Step-3: Factors of 2749

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

Step-4: Factors of 2763

List of positive integer factors of 2763 that divides 2749 without a remainder.

1, 3, 9, 307, 921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2749 and 2763. The biggest common factor number is the GCF number.
So the greatest common factor 2749 and 2763 is 1.

Also check out the Least Common Multiple of 2749 and 2763