Greatest Common Factor of 4645 and 4650

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 4645, 4650 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4645 and 4650 is 5.

GCF(4645,4650) = 5

GCF of 4645 and 4650

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

GCF of:
and

Greatest Common Factor of 4645 and 4650

GCF of 4645 and 4650 is 5

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

Prime Factorization of 4650


2 4650
3 2325
5 775
5 155
31 31
1

Prime factors of 4650 are 2,3,5,31. Prime factorization of 4650 in exponential form is:

4650 = 21×31×52×311

∴ So by taking common prime factors GCF of 4645 and 4650 is 5

Greatest Common Factor of 4645 and 4650 by matching factors method

Factors of 4645

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

1,5,929,4645

Factors of 4650

List of positive integer factors of 4650 that divides 4650 without a remainder.

1,2,3,5,6,10,15,25,30,31,50,62,75,93,150,155,186,310,465,775,930,1550,2325,4650

Greatest Common Factor

We found the factors and prime factorization of 4645 and 4650. The biggest common factor number is the GCF number.
So the greatest common factor 4645 and 4650 is 5.

Also check out the Least Common Multiple of 4645 and 4650

Properties of GCF 4645 and 4650

(i) The GCF of 4645 and 4650 is associative

GCF of 4645 and 4650 = GCF of 4650 and 4645

Related Greatest Common Factor of 4645

Related Greatest Common Factor of 4650

Frequently Asked Questions on GCF of 4645 and 4650

1. What is the GCF of 4645 and 4650?

Answer: GCF of 4645 and 4650 is 5.

2. 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.

3. What are the Factors of 4650?

Answer: Factors of 4650 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 31, 50, 62, 75, 93, 150, 155, 186, 310, 465, 775, 930, 1550, 2325, 4650. There are 24 integers that are factors of 4650. The greatest factor of 4650 is 4650.

4. How to Find the GCF of 4645 and 4650?

Answer:

Greatest Common Factor of 4645 and 4650 = 5

Step 1: Find the prime factorization of 4645

4645 = 5 x 929

Step 2: Find the prime factorization of 4650

4650 = 2 x 3 x 5 x 5 x 31

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 4645 and 4650 is 5