What is the Greatest Common Factor of 53724 and 53730?

Greatest common factor (GCF) of 53724 and 53730 is 6.

GCF(53724,53730) = 6

We will now calculate the prime factors of 53724 and 53730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53724 and 53730.

How to find the GCF of 53724 and 53730?

We will first find the prime factorization of 53724 and 53730. After we will calculate the factors of 53724 and 53730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53730

Prime factors of 53730 are 2, 3, 5, 199. Prime factorization of 53730 in exponential form is:

53730 = 2¹ × 3³ × 5¹ × 199¹

Step-3: Factors of 53724

List of positive integer factors of 53724 that divides 53724 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

Step-4: Factors of 53730

List of positive integer factors of 53730 that divides 53724 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 199, 270, 398, 597, 995, 1194, 1791, 1990, 2985, 3582, 5373, 5970, 8955, 10746, 17910, 26865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53724 and 53730. The biggest common factor number is the GCF number.
So the greatest common factor 53724 and 53730 is 6.

Also check out the Least Common Multiple of 53724 and 53730