Greatest Common Factor of 5640 and 5645

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 5640, 5645 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5640 and 5645 is 5.

GCF(5640,5645) = 5

GCF of 5640 and 5645

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

GCF of:
and

Greatest Common Factor of 5640 and 5645

GCF of 5640 and 5645 is 5

Prime Factorization of 5640


2 5640
2 2820
2 1410
3 705
5 235
47 47
1

Prime factors of 5640 are 2,3,5,47. Prime factorization of 5640 in exponential form is:

5640 = 23×31×51×471

Prime Factorization of 5645


5 5645
1129 1129
1

Prime factors of 5645 are 5,1129. Prime factorization of 5645 in exponential form is:

5645 = 51×11291

∴ So by taking common prime factors GCF of 5640 and 5645 is 5

Greatest Common Factor of 5640 and 5645 by matching factors method

Factors of 5640

List of positive integer factors of 5640 that divides 5640 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640

Factors of 5645

List of positive integer factors of 5645 that divides 5645 without a remainder.

1,5,1129,5645

Greatest Common Factor

We found the factors and prime factorization of 5640 and 5645. The biggest common factor number is the GCF number.
So the greatest common factor 5640 and 5645 is 5.

Also check out the Least Common Multiple of 5640 and 5645

Properties of GCF 5640 and 5645

(i) The GCF of 5640 and 5645 is associative

GCF of 5640 and 5645 = GCF of 5645 and 5640

Related Greatest Common Factor of 5640

Related Greatest Common Factor of 5645

Frequently Asked Questions on GCF of 5640 and 5645

1. What is the GCF of 5640 and 5645?

Answer: GCF of 5640 and 5645 is 5.

2. What are the Factors of 5640?

Answer: Factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640. There are 32 integers that are factors of 5640. The greatest factor of 5640 is 5640.

3. What are the Factors of 5645?

Answer: Factors of 5645 are 1, 5, 1129, 5645. There are 4 integers that are factors of 5645. The greatest factor of 5645 is 5645.

4. How to Find the GCF of 5640 and 5645?

Answer:

Greatest Common Factor of 5640 and 5645 = 5

Step 1: Find the prime factorization of 5640

5640 = 2 x 2 x 2 x 3 x 5 x 47

Step 2: Find the prime factorization of 5645

5645 = 5 x 1129

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 5640 and 5645 is 5