Greatest Common Factor of 4650 and 4654

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 4650, 4654 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4650 and 4654 is 2.

GCF(4650,4654) = 2

GCF of 4650 and 4654

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

GCF of:
and

Greatest Common Factor of 4650 and 4654

GCF of 4650 and 4654 is 2

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

Prime Factorization of 4654


2 4654
13 2327
179 179
1

Prime factors of 4654 are 2,13,179. Prime factorization of 4654 in exponential form is:

4654 = 21×131×1791

∴ So by taking common prime factors GCF of 4650 and 4654 is 2

Greatest Common Factor of 4650 and 4654 by matching factors method

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

Factors of 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1,2,13,26,179,358,2327,4654

Greatest Common Factor

We found the factors and prime factorization of 4650 and 4654. The biggest common factor number is the GCF number.
So the greatest common factor 4650 and 4654 is 2.

Also check out the Least Common Multiple of 4650 and 4654

Properties of GCF 4650 and 4654

(i) The GCF of 4650 and 4654 is associative

GCF of 4650 and 4654 = GCF of 4654 and 4650

Related Greatest Common Factor of 4650

Related Greatest Common Factor of 4654

Frequently Asked Questions on GCF of 4650 and 4654

1. What is the GCF of 4650 and 4654?

Answer: GCF of 4650 and 4654 is 2.

2. 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.

3. What are the Factors of 4654?

Answer: Factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654. There are 8 integers that are factors of 4654. The greatest factor of 4654 is 4654.

4. How to Find the GCF of 4650 and 4654?

Answer:

Greatest Common Factor of 4650 and 4654 = 2

Step 1: Find the prime factorization of 4650

4650 = 2 x 3 x 5 x 5 x 31

Step 2: Find the prime factorization of 4654

4654 = 2 x 13 x 179

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 4650 and 4654 is 2