What is the Greatest Common Factor of 43250 and 43270?

Greatest common factor (GCF) of 43250 and 43270 is 10.

GCF(43250,43270) = 10

We will now calculate the prime factors of 43250 and 43270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43250 and 43270.

How to find the GCF of 43250 and 43270?

We will first find the prime factorization of 43250 and 43270. After we will calculate the factors of 43250 and 43270 and find the biggest common factor number .

Step-1: Prime Factorization of 43250

Prime factors of 43250 are 2, 5, 173. Prime factorization of 43250 in exponential form is:

43250 = 2¹ × 5³ × 173¹

Step-2: Prime Factorization of 43270

Prime factors of 43270 are 2, 5, 4327. Prime factorization of 43270 in exponential form is:

43270 = 2¹ × 5¹ × 4327¹

Step-3: Factors of 43250

List of positive integer factors of 43250 that divides 43250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 173, 250, 346, 865, 1730, 4325, 8650, 21625

Step-4: Factors of 43270

List of positive integer factors of 43270 that divides 43250 without a remainder.

1, 2, 5, 10, 4327, 8654, 21635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43250 and 43270. The biggest common factor number is the GCF number.
So the greatest common factor 43250 and 43270 is 10.

Also check out the Least Common Multiple of 43250 and 43270