What is the Greatest Common Factor of 9139 and 9158?

Greatest common factor (GCF) of 9139 and 9158 is 19.

GCF(9139,9158) = 19

We will now calculate the prime factors of 9139 and 9158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9139 and 9158.

How to find the GCF of 9139 and 9158?

We will first find the prime factorization of 9139 and 9158. After we will calculate the factors of 9139 and 9158 and find the biggest common factor number .

Step-1: Prime Factorization of 9139

Prime factors of 9139 are 13, 19, 37. Prime factorization of 9139 in exponential form is:

9139 = 13¹ × 19¹ × 37¹

Step-2: Prime Factorization of 9158

Prime factors of 9158 are 2, 19, 241. Prime factorization of 9158 in exponential form is:

9158 = 2¹ × 19¹ × 241¹

Step-3: Factors of 9139

List of positive integer factors of 9139 that divides 9139 without a remainder.

1, 13, 19, 37, 247, 481, 703

Step-4: Factors of 9158

List of positive integer factors of 9158 that divides 9139 without a remainder.

1, 2, 19, 38, 241, 482, 4579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9139 and 9158. The biggest common factor number is the GCF number.
So the greatest common factor 9139 and 9158 is 19.

Also check out the Least Common Multiple of 9139 and 9158