Greatest Common Factor of 4620 and 4624

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 4620, 4624 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4620 and 4624 is 4.

GCF(4620,4624) = 4

GCF of 4620 and 4624

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

GCF of:
and

Greatest Common Factor of 4620 and 4624

GCF of 4620 and 4624 is 4

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

Prime Factorization of 4624


2 4624
2 2312
2 1156
2 578
17 289
17 17
1

Prime factors of 4624 are 2,17. Prime factorization of 4624 in exponential form is:

4624 = 24×172

∴ So by taking common prime factors GCF of 4620 and 4624 is 4

Greatest Common Factor of 4620 and 4624 by matching factors method

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

Factors of 4624

List of positive integer factors of 4624 that divides 4624 without a remainder.

1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624

Greatest Common Factor

We found the factors and prime factorization of 4620 and 4624. The biggest common factor number is the GCF number.
So the greatest common factor 4620 and 4624 is 4.

Also check out the Least Common Multiple of 4620 and 4624

Properties of GCF 4620 and 4624

(i) The GCF of 4620 and 4624 is associative

GCF of 4620 and 4624 = GCF of 4624 and 4620

Related Greatest Common Factor of 4620

Related Greatest Common Factor of 4624

Frequently Asked Questions on GCF of 4620 and 4624

1. What is the GCF of 4620 and 4624?

Answer: GCF of 4620 and 4624 is 4.

2. 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.

3. What are the Factors of 4624?

Answer: Factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624. There are 15 integers that are factors of 4624. The greatest factor of 4624 is 4624.

4. How to Find the GCF of 4620 and 4624?

Answer:

Greatest Common Factor of 4620 and 4624 = 4

Step 1: Find the prime factorization of 4620

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

Step 2: Find the prime factorization of 4624

4624 = 2 x 2 x 2 x 2 x 17 x 17

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4620 and 4624 is 4