What is the Greatest Common Factor of 55707 and 55725?

Greatest common factor (GCF) of 55707 and 55725 is 3.

GCF(55707,55725) = 3

We will now calculate the prime factors of 55707 and 55725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55707 and 55725.

How to find the GCF of 55707 and 55725?

We will first find the prime factorization of 55707 and 55725. After we will calculate the factors of 55707 and 55725 and find the biggest common factor number .

Step-1: Prime Factorization of 55707

Prime factors of 55707 are 3, 31, 599. Prime factorization of 55707 in exponential form is:

55707 = 3¹ × 31¹ × 599¹

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 55707

List of positive integer factors of 55707 that divides 55707 without a remainder.

1, 3, 31, 93, 599, 1797, 18569

Step-4: Factors of 55725

List of positive integer factors of 55725 that divides 55707 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 55707 and 55725. The biggest common factor number is the GCF number.
So the greatest common factor 55707 and 55725 is 3.

Also check out the Least Common Multiple of 55707 and 55725