What is the Greatest Common Factor of 53730 and 53748?

Greatest common factor (GCF) of 53730 and 53748 is 18.

GCF(53730,53748) = 18

We will now calculate the prime factors of 53730 and 53748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53730 and 53748.

How to find the GCF of 53730 and 53748?

We will first find the prime factorization of 53730 and 53748. After we will calculate the factors of 53730 and 53748 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53748

Prime factors of 53748 are 2, 3, 1493. Prime factorization of 53748 in exponential form is:

53748 = 2² × 3² × 1493¹

Step-3: Factors of 53730

List of positive integer factors of 53730 that divides 53730 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

Step-4: Factors of 53748

List of positive integer factors of 53748 that divides 53730 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1493, 2986, 4479, 5972, 8958, 13437, 17916, 26874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53730 and 53748. The biggest common factor number is the GCF number.
So the greatest common factor 53730 and 53748 is 18.

Also check out the Least Common Multiple of 53730 and 53748