What is the Greatest Common Factor of 9139 and 9152?

Greatest common factor (GCF) of 9139 and 9152 is 13.

GCF(9139,9152) = 13

We will now calculate the prime factors of 9139 and 9152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9139 and 9152.

How to find the GCF of 9139 and 9152?

We will first find the prime factorization of 9139 and 9152. After we will calculate the factors of 9139 and 9152 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 9152

Prime factors of 9152 are 2, 11, 13. Prime factorization of 9152 in exponential form is:

9152 = 2⁶ × 11¹ × 13¹

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 9152

List of positive integer factors of 9152 that divides 9139 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9139 and 9152. The biggest common factor number is the GCF number.
So the greatest common factor 9139 and 9152 is 13.

Also check out the Least Common Multiple of 9139 and 9152