What is the Greatest Common Factor of 43109 and 43120?

Greatest common factor (GCF) of 43109 and 43120 is 11.

GCF(43109,43120) = 11

We will now calculate the prime factors of 43109 and 43120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43109 and 43120.

How to find the GCF of 43109 and 43120?

We will first find the prime factorization of 43109 and 43120. After we will calculate the factors of 43109 and 43120 and find the biggest common factor number .

Step-1: Prime Factorization of 43109

Prime factors of 43109 are 11, 3919. Prime factorization of 43109 in exponential form is:

43109 = 11¹ × 3919¹

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 43109

List of positive integer factors of 43109 that divides 43109 without a remainder.

1, 11, 3919

Step-4: Factors of 43120

List of positive integer factors of 43120 that divides 43109 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 43109 and 43120. The biggest common factor number is the GCF number.
So the greatest common factor 43109 and 43120 is 11.

Also check out the Least Common Multiple of 43109 and 43120