What is the Greatest Common Factor of 39136 and 39143?

Greatest common factor (GCF) of 39136 and 39143 is 1.

GCF(39136,39143) = 1

We will now calculate the prime factors of 39136 and 39143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39136 and 39143.

How to find the GCF of 39136 and 39143?

We will first find the prime factorization of 39136 and 39143. After we will calculate the factors of 39136 and 39143 and find the biggest common factor number .

Step-1: Prime Factorization of 39136

Prime factors of 39136 are 2, 1223. Prime factorization of 39136 in exponential form is:

39136 = 2⁵ × 1223¹

Step-2: Prime Factorization of 39143

Prime factors of 39143 are 13, 3011. Prime factorization of 39143 in exponential form is:

39143 = 13¹ × 3011¹

Step-3: Factors of 39136

List of positive integer factors of 39136 that divides 39136 without a remainder.

1, 2, 4, 8, 16, 32, 1223, 2446, 4892, 9784, 19568

Step-4: Factors of 39143

List of positive integer factors of 39143 that divides 39136 without a remainder.

1, 13, 3011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39136 and 39143. The biggest common factor number is the GCF number.
So the greatest common factor 39136 and 39143 is 1.

Also check out the Least Common Multiple of 39136 and 39143