What is the Greatest Common Factor of 9114 and 9129?

Greatest common factor (GCF) of 9114 and 9129 is 3.

GCF(9114,9129) = 3

We will now calculate the prime factors of 9114 and 9129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9114 and 9129.

How to find the GCF of 9114 and 9129?

We will first find the prime factorization of 9114 and 9129. After we will calculate the factors of 9114 and 9129 and find the biggest common factor number .

Step-1: Prime Factorization of 9114

Prime factors of 9114 are 2, 3, 7, 31. Prime factorization of 9114 in exponential form is:

9114 = 2¹ × 3¹ × 7² × 31¹

Step-2: Prime Factorization of 9129

Prime factors of 9129 are 3, 17, 179. Prime factorization of 9129 in exponential form is:

9129 = 3¹ × 17¹ × 179¹

Step-3: Factors of 9114

List of positive integer factors of 9114 that divides 9114 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557

Step-4: Factors of 9129

List of positive integer factors of 9129 that divides 9114 without a remainder.

1, 3, 17, 51, 179, 537, 3043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9114 and 9129. The biggest common factor number is the GCF number.
So the greatest common factor 9114 and 9129 is 3.

Also check out the Least Common Multiple of 9114 and 9129