What is the Greatest Common Factor of 2725 and 2745?

Greatest common factor (GCF) of 2725 and 2745 is 5.

GCF(2725,2745) = 5

We will now calculate the prime factors of 2725 and 2745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2725 and 2745.

How to find the GCF of 2725 and 2745?

We will first find the prime factorization of 2725 and 2745. After we will calculate the factors of 2725 and 2745 and find the biggest common factor number .

Step-1: Prime Factorization of 2725

Prime factors of 2725 are 5, 109. Prime factorization of 2725 in exponential form is:

2725 = 5² × 109¹

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 2725

List of positive integer factors of 2725 that divides 2725 without a remainder.

1, 5, 25, 109, 545

Step-4: Factors of 2745

List of positive integer factors of 2745 that divides 2725 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 2725 and 2745. The biggest common factor number is the GCF number.
So the greatest common factor 2725 and 2745 is 5.

Also check out the Least Common Multiple of 2725 and 2745