What is the Greatest Common Factor of 725 and 743?

Greatest common factor (GCF) of 725 and 743 is 1.

GCF(725,743) = 1

We will now calculate the prime factors of 725 and 743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 725 and 743.

How to find the GCF of 725 and 743?

We will first find the prime factorization of 725 and 743. After we will calculate the factors of 725 and 743 and find the biggest common factor number .

Step-1: Prime Factorization of 725

Prime factors of 725 are 5, 29. Prime factorization of 725 in exponential form is:

725 = 5² × 29¹

Step-2: Prime Factorization of 743

Prime factors of 743 are 743. Prime factorization of 743 in exponential form is:

743 = 743¹

Step-3: Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145

Step-4: Factors of 743

List of positive integer factors of 743 that divides 725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 725 and 743. The biggest common factor number is the GCF number.
So the greatest common factor 725 and 743 is 1.

Also check out the Least Common Multiple of 725 and 743