Greatest Common Factor of 4613 and 4620

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 4613, 4620 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4613 and 4620 is 7.

GCF(4613,4620) = 7

GCF of 4613 and 4620

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

GCF of:
and

Greatest Common Factor of 4613 and 4620

GCF of 4613 and 4620 is 7

Prime Factorization of 4613


7 4613
659 659
1

Prime factors of 4613 are 7,659. Prime factorization of 4613 in exponential form is:

4613 = 71×6591

Prime Factorization of 4620


2 4620
2 2310
3 1155
5 385
7 77
11 11
1

Prime factors of 4620 are 2,3,5,7,11. Prime factorization of 4620 in exponential form is:

4620 = 22×31×51×71×111

∴ So by taking common prime factors GCF of 4613 and 4620 is 7

Greatest Common Factor of 4613 and 4620 by matching factors method

Factors of 4613

List of positive integer factors of 4613 that divides 4613 without a remainder.

1,7,659,4613

Factors of 4620

List of positive integer factors of 4620 that divides 4620 without a remainder.

1,2,3,4,5,6,7,10,11,12,14,15,20,21,22,28,30,33,35,42,44,55,60,66,70,77,84,105,110,132,140,154,165,210,220,231,308,330,385,420,462,660,770,924,1155,1540,2310,4620

Greatest Common Factor

We found the factors and prime factorization of 4613 and 4620. The biggest common factor number is the GCF number.
So the greatest common factor 4613 and 4620 is 7.

Also check out the Least Common Multiple of 4613 and 4620

Properties of GCF 4613 and 4620

(i) The GCF of 4613 and 4620 is associative

GCF of 4613 and 4620 = GCF of 4620 and 4613

Related Greatest Common Factor of 4613

Related Greatest Common Factor of 4620

Frequently Asked Questions on GCF of 4613 and 4620

1. What is the GCF of 4613 and 4620?

Answer: GCF of 4613 and 4620 is 7.

2. What are the Factors of 4613?

Answer: Factors of 4613 are 1, 7, 659, 4613. There are 4 integers that are factors of 4613. The greatest factor of 4613 is 4613.

3. What are the Factors of 4620?

Answer: Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620. There are 48 integers that are factors of 4620. The greatest factor of 4620 is 4620.

4. How to Find the GCF of 4613 and 4620?

Answer:

Greatest Common Factor of 4613 and 4620 = 7

Step 1: Find the prime factorization of 4613

4613 = 7 x 659

Step 2: Find the prime factorization of 4620

4620 = 2 x 2 x 3 x 5 x 7 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 4613 and 4620 is 7