What is the Greatest Common Factor of 2735 and 2745?

Greatest common factor (GCF) of 2735 and 2745 is 5.

GCF(2735,2745) = 5

We will now calculate the prime factors of 2735 and 2745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2735 and 2745.

How to find the GCF of 2735 and 2745?

We will first find the prime factorization of 2735 and 2745. After we will calculate the factors of 2735 and 2745 and find the biggest common factor number .

Step-1: Prime Factorization of 2735

Prime factors of 2735 are 5, 547. Prime factorization of 2735 in exponential form is:

2735 = 5¹ × 547¹

Step-2: 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-3: Factors of 2735

List of positive integer factors of 2735 that divides 2735 without a remainder.

1, 5, 547

Step-4: Factors of 2745

List of positive integer factors of 2745 that divides 2735 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2735 and 2745. The biggest common factor number is the GCF number.
So the greatest common factor 2735 and 2745 is 5.

Also check out the Least Common Multiple of 2735 and 2745