Greatest Common Factor of 4640 and 4645

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 4640, 4645 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4640 and 4645 is 5.

GCF(4640,4645) = 5

GCF of 4640 and 4645

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

GCF of:
and

Greatest Common Factor of 4640 and 4645

GCF of 4640 and 4645 is 5

Prime Factorization of 4640


2 4640
2 2320
2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 4640 are 2,5,29. Prime factorization of 4640 in exponential form is:

4640 = 25×51×291

Prime Factorization of 4645


5 4645
929 929
1

Prime factors of 4645 are 5,929. Prime factorization of 4645 in exponential form is:

4645 = 51×9291

∴ So by taking common prime factors GCF of 4640 and 4645 is 5

Greatest Common Factor of 4640 and 4645 by matching factors method

Factors of 4640

List of positive integer factors of 4640 that divides 4640 without a remainder.

1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640

Factors of 4645

List of positive integer factors of 4645 that divides 4645 without a remainder.

1,5,929,4645

Greatest Common Factor

We found the factors and prime factorization of 4640 and 4645. The biggest common factor number is the GCF number.
So the greatest common factor 4640 and 4645 is 5.

Also check out the Least Common Multiple of 4640 and 4645

Properties of GCF 4640 and 4645

(i) The GCF of 4640 and 4645 is associative

GCF of 4640 and 4645 = GCF of 4645 and 4640

Related Greatest Common Factor of 4640

Related Greatest Common Factor of 4645

Frequently Asked Questions on GCF of 4640 and 4645

1. What is the GCF of 4640 and 4645?

Answer: GCF of 4640 and 4645 is 5.

2. What are the Factors of 4640?

Answer: Factors of 4640 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640. There are 24 integers that are factors of 4640. The greatest factor of 4640 is 4640.

3. What are the Factors of 4645?

Answer: Factors of 4645 are 1, 5, 929, 4645. There are 4 integers that are factors of 4645. The greatest factor of 4645 is 4645.

4. How to Find the GCF of 4640 and 4645?

Answer:

Greatest Common Factor of 4640 and 4645 = 5

Step 1: Find the prime factorization of 4640

4640 = 2 x 2 x 2 x 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 4645

4645 = 5 x 929

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 4640 and 4645 is 5