What is the Greatest Common Factor of 59709 and 59725?

Greatest common factor (GCF) of 59709 and 59725 is 1.

GCF(59709,59725) = 1

We will now calculate the prime factors of 59709 and 59725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59709 and 59725.

How to find the GCF of 59709 and 59725?

We will first find the prime factorization of 59709 and 59725. After we will calculate the factors of 59709 and 59725 and find the biggest common factor number .

Step-1: Prime Factorization of 59709

Prime factors of 59709 are 3, 13, 1531. Prime factorization of 59709 in exponential form is:

59709 = 3¹ × 13¹ × 1531¹

Step-2: Prime Factorization of 59725

Prime factors of 59725 are 5, 2389. Prime factorization of 59725 in exponential form is:

59725 = 5² × 2389¹

Step-3: Factors of 59709

List of positive integer factors of 59709 that divides 59709 without a remainder.

1, 3, 13, 39, 1531, 4593, 19903

Step-4: Factors of 59725

List of positive integer factors of 59725 that divides 59709 without a remainder.

1, 5, 25, 2389, 11945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59709 and 59725. The biggest common factor number is the GCF number.
So the greatest common factor 59709 and 59725 is 1.

Also check out the Least Common Multiple of 59709 and 59725