Greatest Common Factor of 9140 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 9140, 9144 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9140 and 9144 is 4.

GCF(9140,9144) = 4

GCF of 9140 and 9144

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

GCF of:
and

Greatest Common Factor of 9140 and 9144

GCF of 9140 and 9144 is 4

Prime Factorization of 9140


2 9140
2 4570
5 2285
457 457
1

Prime factors of 9140 are 2,5,457. Prime factorization of 9140 in exponential form is:

9140 = 22×51×4571

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 9140 and 9144 is 4

Greatest Common Factor of 9140 and 9144 by matching factors method

Factors of 9140

List of positive integer factors of 9140 that divides 9140 without a remainder.

1,2,4,5,10,20,457,914,1828,2285,4570,9140

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 9140 and 9144. The biggest common factor number is the GCF number.
So the greatest common factor 9140 and 9144 is 4.

Also check out the Least Common Multiple of 9140 and 9144

Properties of GCF 9140 and 9144

(i) The GCF of 9140 and 9144 is associative

GCF of 9140 and 9144 = GCF of 9144 and 9140

Related Greatest Common Factor of 9140

Related Greatest Common Factor of 9144

Frequently Asked Questions on GCF of 9140 and 9144

1. What is the GCF of 9140 and 9144?

Answer: GCF of 9140 and 9144 is 4.

2. What are the Factors of 9140?

Answer: Factors of 9140 are 1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140. There are 12 integers that are factors of 9140. The greatest factor of 9140 is 9140.

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 9140 and 9144?

Answer:

Greatest Common Factor of 9140 and 9144 = 4

Step 1: Find the prime factorization of 9140

9140 = 2 x 2 x 5 x 457

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 2 = 4

Step 4: Therefore, the greatest common factor of 9140 and 9144 is 4