What is the Greatest Common Factor of 40725 and 40743?

Greatest common factor (GCF) of 40725 and 40743 is 9.

GCF(40725,40743) = 9

We will now calculate the prime factors of 40725 and 40743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40725 and 40743.

How to find the GCF of 40725 and 40743?

We will first find the prime factorization of 40725 and 40743. After we will calculate the factors of 40725 and 40743 and find the biggest common factor number .

Step-1: Prime Factorization of 40725

Prime factors of 40725 are 3, 5, 181. Prime factorization of 40725 in exponential form is:

40725 = 3² × 5² × 181¹

Step-2: Prime Factorization of 40743

Prime factors of 40743 are 3, 503. Prime factorization of 40743 in exponential form is:

40743 = 3⁴ × 503¹

Step-3: Factors of 40725

List of positive integer factors of 40725 that divides 40725 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 181, 225, 543, 905, 1629, 2715, 4525, 8145, 13575

Step-4: Factors of 40743

List of positive integer factors of 40743 that divides 40725 without a remainder.

1, 3, 9, 27, 81, 503, 1509, 4527, 13581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40725 and 40743. The biggest common factor number is the GCF number.
So the greatest common factor 40725 and 40743 is 9.

Also check out the Least Common Multiple of 40725 and 40743