What is the Greatest Common Factor of 43136 and 43147?

Greatest common factor (GCF) of 43136 and 43147 is 1.

GCF(43136,43147) = 1

We will now calculate the prime factors of 43136 and 43147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43136 and 43147.

How to find the GCF of 43136 and 43147?

We will first find the prime factorization of 43136 and 43147. After we will calculate the factors of 43136 and 43147 and find the biggest common factor number .

Step-1: Prime Factorization of 43136

Prime factors of 43136 are 2, 337. Prime factorization of 43136 in exponential form is:

43136 = 2⁷ × 337¹

Step-2: Prime Factorization of 43147

Prime factors of 43147 are 13, 3319. Prime factorization of 43147 in exponential form is:

43147 = 13¹ × 3319¹

Step-3: Factors of 43136

List of positive integer factors of 43136 that divides 43136 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 337, 674, 1348, 2696, 5392, 10784, 21568

Step-4: Factors of 43147

List of positive integer factors of 43147 that divides 43136 without a remainder.

1, 13, 3319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43136 and 43147. The biggest common factor number is the GCF number.
So the greatest common factor 43136 and 43147 is 1.

Also check out the Least Common Multiple of 43136 and 43147