What is the Greatest Common Factor of 55725 and 55737?

Greatest common factor (GCF) of 55725 and 55737 is 3.

GCF(55725,55737) = 3

We will now calculate the prime factors of 55725 and 55737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55725 and 55737.

How to find the GCF of 55725 and 55737?

We will first find the prime factorization of 55725 and 55737. After we will calculate the factors of 55725 and 55737 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 55737

Prime factors of 55737 are 3, 11, 563. Prime factorization of 55737 in exponential form is:

55737 = 3² × 11¹ × 563¹

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 55737

List of positive integer factors of 55737 that divides 55725 without a remainder.

1, 3, 9, 11, 33, 99, 563, 1689, 5067, 6193, 18579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55725 and 55737. The biggest common factor number is the GCF number.
So the greatest common factor 55725 and 55737 is 3.

Also check out the Least Common Multiple of 55725 and 55737