What is the Greatest Common Factor of 53709 and 53724?

Greatest common factor (GCF) of 53709 and 53724 is 3.

GCF(53709,53724) = 3

We will now calculate the prime factors of 53709 and 53724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53709 and 53724.

How to find the GCF of 53709 and 53724?

We will first find the prime factorization of 53709 and 53724. After we will calculate the factors of 53709 and 53724 and find the biggest common factor number .

Step-1: Prime Factorization of 53709

Prime factors of 53709 are 3, 17903. Prime factorization of 53709 in exponential form is:

53709 = 3¹ × 17903¹

Step-2: Prime Factorization of 53724

Prime factors of 53724 are 2, 3, 11, 37. Prime factorization of 53724 in exponential form is:

53724 = 2² × 3¹ × 11² × 37¹

Step-3: Factors of 53709

List of positive integer factors of 53709 that divides 53709 without a remainder.

1, 3, 17903

Step-4: Factors of 53724

List of positive integer factors of 53724 that divides 53709 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 121, 132, 148, 222, 242, 363, 407, 444, 484, 726, 814, 1221, 1452, 1628, 2442, 4477, 4884, 8954, 13431, 17908, 26862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53709 and 53724. The biggest common factor number is the GCF number.
So the greatest common factor 53709 and 53724 is 3.

Also check out the Least Common Multiple of 53709 and 53724