What is the Greatest Common Factor of 55725 and 55739?

Greatest common factor (GCF) of 55725 and 55739 is 1.

GCF(55725,55739) = 1

We will now calculate the prime factors of 55725 and 55739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55725 and 55739.

How to find the GCF of 55725 and 55739?

We will first find the prime factorization of 55725 and 55739. After we will calculate the factors of 55725 and 55739 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55739

Prime factors of 55739 are 139, 401. Prime factorization of 55739 in exponential form is:

55739 = 139¹ × 401¹

Step-3: Factors of 55725

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

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

Step-4: Factors of 55739

List of positive integer factors of 55739 that divides 55725 without a remainder.

1, 139, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55725 and 55739. The biggest common factor number is the GCF number.
So the greatest common factor 55725 and 55739 is 1.

Also check out the Least Common Multiple of 55725 and 55739