What is the Greatest Common Factor of 40725 and 40739?

Greatest common factor (GCF) of 40725 and 40739 is 1.

GCF(40725,40739) = 1

We will now calculate the prime factors of 40725 and 40739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40725 and 40739.

How to find the GCF of 40725 and 40739?

We will first find the prime factorization of 40725 and 40739. After we will calculate the factors of 40725 and 40739 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 40739

Prime factors of 40739 are 40739. Prime factorization of 40739 in exponential form is:

40739 = 40739¹

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 40739

List of positive integer factors of 40739 that divides 40725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40725 and 40739. The biggest common factor number is the GCF number.
So the greatest common factor 40725 and 40739 is 1.

Also check out the Least Common Multiple of 40725 and 40739