What is the Greatest Common Factor of 43114 and 43120?

Greatest common factor (GCF) of 43114 and 43120 is 2.

GCF(43114,43120) = 2

We will now calculate the prime factors of 43114 and 43120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43114 and 43120.

How to find the GCF of 43114 and 43120?

We will first find the prime factorization of 43114 and 43120. After we will calculate the factors of 43114 and 43120 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 43120

Prime factors of 43120 are 2, 5, 7, 11. Prime factorization of 43120 in exponential form is:

43120 = 2⁴ × 5¹ × 7² × 11¹

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 43120

List of positive integer factors of 43120 that divides 43114 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 49, 55, 56, 70, 77, 80, 88, 98, 110, 112, 140, 154, 176, 196, 220, 245, 280, 308, 385, 392, 440, 490, 539, 560, 616, 770, 784, 880, 980, 1078, 1232, 1540, 1960, 2156, 2695, 3080, 3920, 4312, 5390, 6160, 8624, 10780, 21560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43114 and 43120. The biggest common factor number is the GCF number.
So the greatest common factor 43114 and 43120 is 2.

Also check out the Least Common Multiple of 43114 and 43120