What is the Greatest Common Factor of 2745 and 2755?

Greatest common factor (GCF) of 2745 and 2755 is 5.

GCF(2745,2755) = 5

We will now calculate the prime factors of 2745 and 2755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2745 and 2755.

How to find the GCF of 2745 and 2755?

We will first find the prime factorization of 2745 and 2755. After we will calculate the factors of 2745 and 2755 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 2755

Prime factors of 2755 are 5, 19, 29. Prime factorization of 2755 in exponential form is:

2755 = 5¹ × 19¹ × 29¹

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 2755

List of positive integer factors of 2755 that divides 2745 without a remainder.

1, 5, 19, 29, 95, 145, 551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2745 and 2755. The biggest common factor number is the GCF number.
So the greatest common factor 2745 and 2755 is 5.

Also check out the Least Common Multiple of 2745 and 2755