What is the Greatest Common Factor of 2725 and 2743?

Greatest common factor (GCF) of 2725 and 2743 is 1.

GCF(2725,2743) = 1

We will now calculate the prime factors of 2725 and 2743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2725 and 2743.

How to find the GCF of 2725 and 2743?

We will first find the prime factorization of 2725 and 2743. After we will calculate the factors of 2725 and 2743 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 2743

Prime factors of 2743 are 13, 211. Prime factorization of 2743 in exponential form is:

2743 = 13¹ × 211¹

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 2743

List of positive integer factors of 2743 that divides 2725 without a remainder.

1, 13, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2725 and 2743. The biggest common factor number is the GCF number.
So the greatest common factor 2725 and 2743 is 1.

Also check out the Least Common Multiple of 2725 and 2743