What is the Greatest Common Factor of 43730 and 43750?

Greatest common factor (GCF) of 43730 and 43750 is 10.

GCF(43730,43750) = 10

We will now calculate the prime factors of 43730 and 43750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43730 and 43750.

How to find the GCF of 43730 and 43750?

We will first find the prime factorization of 43730 and 43750. After we will calculate the factors of 43730 and 43750 and find the biggest common factor number .

Step-1: Prime Factorization of 43730

Prime factors of 43730 are 2, 5, 4373. Prime factorization of 43730 in exponential form is:

43730 = 2¹ × 5¹ × 4373¹

Step-2: Prime Factorization of 43750

Prime factors of 43750 are 2, 5, 7. Prime factorization of 43750 in exponential form is:

43750 = 2¹ × 5⁵ × 7¹

Step-3: Factors of 43730

List of positive integer factors of 43730 that divides 43730 without a remainder.

1, 2, 5, 10, 4373, 8746, 21865

Step-4: Factors of 43750

List of positive integer factors of 43750 that divides 43730 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 625, 875, 1250, 1750, 3125, 4375, 6250, 8750, 21875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43730 and 43750. The biggest common factor number is the GCF number.
So the greatest common factor 43730 and 43750 is 10.

Also check out the Least Common Multiple of 43730 and 43750