What is the Greatest Common Factor of 55709 and 55725?

Greatest common factor (GCF) of 55709 and 55725 is 1.

GCF(55709,55725) = 1

We will now calculate the prime factors of 55709 and 55725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55709 and 55725.

How to find the GCF of 55709 and 55725?

We will first find the prime factorization of 55709 and 55725. After we will calculate the factors of 55709 and 55725 and find the biggest common factor number .

Step-1: Prime Factorization of 55709

Prime factors of 55709 are 17, 29, 113. Prime factorization of 55709 in exponential form is:

55709 = 17¹ × 29¹ × 113¹

Step-2: Prime Factorization of 55725

Prime factors of 55725 are 3, 5, 743. Prime factorization of 55725 in exponential form is:

55725 = 3¹ × 5² × 743¹

Step-3: Factors of 55709

List of positive integer factors of 55709 that divides 55709 without a remainder.

1, 17, 29, 113, 493, 1921, 3277

Step-4: Factors of 55725

List of positive integer factors of 55725 that divides 55709 without a remainder.

1, 3, 5, 15, 25, 75, 743, 2229, 3715, 11145, 18575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55709 and 55725. The biggest common factor number is the GCF number.
So the greatest common factor 55709 and 55725 is 1.

Also check out the Least Common Multiple of 55709 and 55725