What is the Greatest Common Factor of 2745 and 2763?

Greatest common factor (GCF) of 2745 and 2763 is 9.

GCF(2745,2763) = 9

We will now calculate the prime factors of 2745 and 2763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2745 and 2763.

How to find the GCF of 2745 and 2763?

We will first find the prime factorization of 2745 and 2763. After we will calculate the factors of 2745 and 2763 and find the biggest common factor number .

Step-1: Prime Factorization of 2745

Prime factors of 2745 are 3, 5, 61. Prime factorization of 2745 in exponential form is:

2745 = 3² × 5¹ × 61¹

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 2745

List of positive integer factors of 2745 that divides 2745 without a remainder.

1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915

Step-4: Factors of 2763

List of positive integer factors of 2763 that divides 2745 without a remainder.

1, 3, 9, 307, 921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2745 and 2763. The biggest common factor number is the GCF number.
So the greatest common factor 2745 and 2763 is 9.

Also check out the Least Common Multiple of 2745 and 2763