What is the Greatest Common Factor of 43750 and 43768?

Greatest common factor (GCF) of 43750 and 43768 is 2.

GCF(43750,43768) = 2

We will now calculate the prime factors of 43750 and 43768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43750 and 43768.

How to find the GCF of 43750 and 43768?

We will first find the prime factorization of 43750 and 43768. After we will calculate the factors of 43750 and 43768 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43768

Prime factors of 43768 are 2, 5471. Prime factorization of 43768 in exponential form is:

43768 = 2³ × 5471¹

Step-3: Factors of 43750

List of positive integer factors of 43750 that divides 43750 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

Step-4: Factors of 43768

List of positive integer factors of 43768 that divides 43750 without a remainder.

1, 2, 4, 8, 5471, 10942, 21884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43750 and 43768. The biggest common factor number is the GCF number.
So the greatest common factor 43750 and 43768 is 2.

Also check out the Least Common Multiple of 43750 and 43768