Greatest Common Factor of 4642 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 4642, 4650 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4642 and 4650 is 2.

GCF(4642,4650) = 2

GCF of 4642 and 4650

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

GCF of:
and

Greatest Common Factor of 4642 and 4650

GCF of 4642 and 4650 is 2

Prime Factorization of 4642


2 4642
11 2321
211 211
1

Prime factors of 4642 are 2,11,211. Prime factorization of 4642 in exponential form is:

4642 = 21×111×2111

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 4642 and 4650 is 2

Greatest Common Factor of 4642 and 4650 by matching factors method

Factors of 4642

List of positive integer factors of 4642 that divides 4642 without a remainder.

1,2,11,22,211,422,2321,4642

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 4642 and 4650. The biggest common factor number is the GCF number.
So the greatest common factor 4642 and 4650 is 2.

Also check out the Least Common Multiple of 4642 and 4650

Properties of GCF 4642 and 4650

(i) The GCF of 4642 and 4650 is associative

GCF of 4642 and 4650 = GCF of 4650 and 4642

Related Greatest Common Factor of 4642

Related Greatest Common Factor of 4650

Frequently Asked Questions on GCF of 4642 and 4650

1. What is the GCF of 4642 and 4650?

Answer: GCF of 4642 and 4650 is 2.

2. What are the Factors of 4642?

Answer: Factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642. There are 8 integers that are factors of 4642. The greatest factor of 4642 is 4642.

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 4642 and 4650?

Answer:

Greatest Common Factor of 4642 and 4650 = 2

Step 1: Find the prime factorization of 4642

4642 = 2 x 11 x 211

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 = 2

Step 4: Therefore, the greatest common factor of 4642 and 4650 is 2