What is the Greatest Common Factor of 53730 and 53750?

Greatest common factor (GCF) of 53730 and 53750 is 10.

GCF(53730,53750) = 10

We will now calculate the prime factors of 53730 and 53750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53730 and 53750.

How to find the GCF of 53730 and 53750?

We will first find the prime factorization of 53730 and 53750. After we will calculate the factors of 53730 and 53750 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 53750

Prime factors of 53750 are 2, 5, 43. Prime factorization of 53750 in exponential form is:

53750 = 2¹ × 5⁴ × 43¹

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 53750

List of positive integer factors of 53750 that divides 53730 without a remainder.

1, 2, 5, 10, 25, 43, 50, 86, 125, 215, 250, 430, 625, 1075, 1250, 2150, 5375, 10750, 26875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53730 and 53750. The biggest common factor number is the GCF number.
So the greatest common factor 53730 and 53750 is 10.

Also check out the Least Common Multiple of 53730 and 53750