What is the Greatest Common Factor of 43114 and 43128?

Greatest common factor (GCF) of 43114 and 43128 is 2.

GCF(43114,43128) = 2

We will now calculate the prime factors of 43114 and 43128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43114 and 43128.

How to find the GCF of 43114 and 43128?

We will first find the prime factorization of 43114 and 43128. After we will calculate the factors of 43114 and 43128 and find the biggest common factor number .

Step-1: Prime Factorization of 43114

Prime factors of 43114 are 2, 21557. Prime factorization of 43114 in exponential form is:

43114 = 2¹ × 21557¹

Step-2: Prime Factorization of 43128

Prime factors of 43128 are 2, 3, 599. Prime factorization of 43128 in exponential form is:

43128 = 2³ × 3² × 599¹

Step-3: Factors of 43114

List of positive integer factors of 43114 that divides 43114 without a remainder.

1, 2, 21557

Step-4: Factors of 43128

List of positive integer factors of 43128 that divides 43114 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 599, 1198, 1797, 2396, 3594, 4792, 5391, 7188, 10782, 14376, 21564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43114 and 43128. The biggest common factor number is the GCF number.
So the greatest common factor 43114 and 43128 is 2.

Also check out the Least Common Multiple of 43114 and 43128