Greatest Common Factor of 9138 and 9144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9138, 9144 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9138 and 9144 is 6.

GCF(9138,9144) = 6

GCF of 9138 and 9144

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9138 and 9144

GCF of 9138 and 9144 is 6

Prime Factorization of 9138


2 9138
3 4569
1523 1523
1

Prime factors of 9138 are 2,3,1523. Prime factorization of 9138 in exponential form is:

9138 = 21×31×15231

Prime Factorization of 9144


2 9144
2 4572
2 2286
3 1143
3 381
127 127
1

Prime factors of 9144 are 2,3,127. Prime factorization of 9144 in exponential form is:

9144 = 23×32×1271

∴ So by taking common prime factors GCF of 9138 and 9144 is 6

Greatest Common Factor of 9138 and 9144 by matching factors method

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1,2,3,6,1523,3046,4569,9138

Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144

Greatest Common Factor

We found the factors and prime factorization of 9138 and 9144. The biggest common factor number is the GCF number.
So the greatest common factor 9138 and 9144 is 6.

Also check out the Least Common Multiple of 9138 and 9144

Properties of GCF 9138 and 9144

(i) The GCF of 9138 and 9144 is associative

GCF of 9138 and 9144 = GCF of 9144 and 9138

Related Greatest Common Factor of 9138

Related Greatest Common Factor of 9144

Frequently Asked Questions on GCF of 9138 and 9144

1. What is the GCF of 9138 and 9144?

Answer: GCF of 9138 and 9144 is 6.

2. What are the Factors of 9138?

Answer: Factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138. There are 8 integers that are factors of 9138. The greatest factor of 9138 is 9138.

3. What are the Factors of 9144?

Answer: Factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144. There are 24 integers that are factors of 9144. The greatest factor of 9144 is 9144.

4. How to Find the GCF of 9138 and 9144?

Answer:

Greatest Common Factor of 9138 and 9144 = 6

Step 1: Find the prime factorization of 9138

9138 = 2 x 3 x 1523

Step 2: Find the prime factorization of 9144

9144 = 2 x 2 x 2 x 3 x 3 x 127

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9138 and 9144 is 6