Greatest Common Factor of 4624 and 4632

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 4624, 4632 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4624 and 4632 is 8.

GCF(4624,4632) = 8

GCF of 4624 and 4632

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

GCF of:
and

Greatest Common Factor of 4624 and 4632

GCF of 4624 and 4632 is 8

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

Prime Factorization of 4632


2 4632
2 2316
2 1158
3 579
193 193
1

Prime factors of 4632 are 2,3,193. Prime factorization of 4632 in exponential form is:

4632 = 23×31×1931

∴ So by taking common prime factors GCF of 4624 and 4632 is 8

Greatest Common Factor of 4624 and 4632 by matching factors method

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

Factors of 4632

List of positive integer factors of 4632 that divides 4632 without a remainder.

1,2,3,4,6,8,12,24,193,386,579,772,1158,1544,2316,4632

Greatest Common Factor

We found the factors and prime factorization of 4624 and 4632. The biggest common factor number is the GCF number.
So the greatest common factor 4624 and 4632 is 8.

Also check out the Least Common Multiple of 4624 and 4632

Properties of GCF 4624 and 4632

(i) The GCF of 4624 and 4632 is associative

GCF of 4624 and 4632 = GCF of 4632 and 4624

Related Greatest Common Factor of 4624

Related Greatest Common Factor of 4632

Frequently Asked Questions on GCF of 4624 and 4632

1. What is the GCF of 4624 and 4632?

Answer: GCF of 4624 and 4632 is 8.

2. 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.

3. What are the Factors of 4632?

Answer: Factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632. There are 16 integers that are factors of 4632. The greatest factor of 4632 is 4632.

4. How to Find the GCF of 4624 and 4632?

Answer:

Greatest Common Factor of 4624 and 4632 = 8

Step 1: Find the prime factorization of 4624

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

Step 2: Find the prime factorization of 4632

4632 = 2 x 2 x 2 x 3 x 193

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4624 and 4632 is 8