Greatest Common Factor of 9140 and 9145

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, 9145 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9140 and 9145 is 5.

GCF(9140,9145) = 5

GCF of 9140 and 9145

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

GCF of:
and

Greatest Common Factor of 9140 and 9145

GCF of 9140 and 9145 is 5

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 9145


5 9145
31 1829
59 59
1

Prime factors of 9145 are 5,31,59. Prime factorization of 9145 in exponential form is:

9145 = 51×311×591

∴ So by taking common prime factors GCF of 9140 and 9145 is 5

Greatest Common Factor of 9140 and 9145 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 9145

List of positive integer factors of 9145 that divides 9145 without a remainder.

1,5,31,59,155,295,1829,9145

Greatest Common Factor

We found the factors and prime factorization of 9140 and 9145. The biggest common factor number is the GCF number.
So the greatest common factor 9140 and 9145 is 5.

Also check out the Least Common Multiple of 9140 and 9145

Properties of GCF 9140 and 9145

(i) The GCF of 9140 and 9145 is associative

GCF of 9140 and 9145 = GCF of 9145 and 9140

Related Greatest Common Factor of 9140

Related Greatest Common Factor of 9145

Frequently Asked Questions on GCF of 9140 and 9145

1. What is the GCF of 9140 and 9145?

Answer: GCF of 9140 and 9145 is 5.

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 9145?

Answer: Factors of 9145 are 1, 5, 31, 59, 155, 295, 1829, 9145. There are 8 integers that are factors of 9145. The greatest factor of 9145 is 9145.

4. How to Find the GCF of 9140 and 9145?

Answer:

Greatest Common Factor of 9140 and 9145 = 5

Step 1: Find the prime factorization of 9140

9140 = 2 x 2 x 5 x 457

Step 2: Find the prime factorization of 9145

9145 = 5 x 31 x 59

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9140 and 9145 is 5