What is the Greatest Common Factor of 43750 and 43764?

Greatest common factor (GCF) of 43750 and 43764 is 14.

GCF(43750,43764) = 14

We will now calculate the prime factors of 43750 and 43764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43750 and 43764.

How to find the GCF of 43750 and 43764?

We will first find the prime factorization of 43750 and 43764. After we will calculate the factors of 43750 and 43764 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 43764

Prime factors of 43764 are 2, 3, 7, 521. Prime factorization of 43764 in exponential form is:

43764 = 2² × 3¹ × 7¹ × 521¹

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 43764

List of positive integer factors of 43764 that divides 43750 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 521, 1042, 1563, 2084, 3126, 3647, 6252, 7294, 10941, 14588, 21882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43750 and 43764. The biggest common factor number is the GCF number.
So the greatest common factor 43750 and 43764 is 14.

Also check out the Least Common Multiple of 43750 and 43764