What is the Greatest Common Factor of 2725 and 2729?

Greatest common factor (GCF) of 2725 and 2729 is 1.

GCF(2725,2729) = 1

We will now calculate the prime factors of 2725 and 2729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2725 and 2729.

How to find the GCF of 2725 and 2729?

We will first find the prime factorization of 2725 and 2729. After we will calculate the factors of 2725 and 2729 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 2729

Prime factors of 2729 are 2729. Prime factorization of 2729 in exponential form is:

2729 = 2729¹

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 2729

List of positive integer factors of 2729 that divides 2725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2725 and 2729. The biggest common factor number is the GCF number.
So the greatest common factor 2725 and 2729 is 1.

Also check out the Least Common Multiple of 2725 and 2729