What is the Greatest Common Factor of 53730 and 53736?

Greatest common factor (GCF) of 53730 and 53736 is 6.

GCF(53730,53736) = 6

We will now calculate the prime factors of 53730 and 53736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53730 and 53736.

How to find the GCF of 53730 and 53736?

We will first find the prime factorization of 53730 and 53736. After we will calculate the factors of 53730 and 53736 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 53736

Prime factors of 53736 are 2, 3, 2239. Prime factorization of 53736 in exponential form is:

53736 = 2³ × 3¹ × 2239¹

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 53736

List of positive integer factors of 53736 that divides 53730 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2239, 4478, 6717, 8956, 13434, 17912, 26868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53730 and 53736. The biggest common factor number is the GCF number.
So the greatest common factor 53730 and 53736 is 6.

Also check out the Least Common Multiple of 53730 and 53736