Greatest Common Factor of 4632 and 4638

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 4632, 4638 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4632 and 4638 is 6.

GCF(4632,4638) = 6

GCF of 4632 and 4638

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

GCF of:
and

Greatest Common Factor of 4632 and 4638

GCF of 4632 and 4638 is 6

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

Prime Factorization of 4638


2 4638
3 2319
773 773
1

Prime factors of 4638 are 2,3,773. Prime factorization of 4638 in exponential form is:

4638 = 21×31×7731

∴ So by taking common prime factors GCF of 4632 and 4638 is 6

Greatest Common Factor of 4632 and 4638 by matching factors method

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

Factors of 4638

List of positive integer factors of 4638 that divides 4638 without a remainder.

1,2,3,6,773,1546,2319,4638

Greatest Common Factor

We found the factors and prime factorization of 4632 and 4638. The biggest common factor number is the GCF number.
So the greatest common factor 4632 and 4638 is 6.

Also check out the Least Common Multiple of 4632 and 4638

Properties of GCF 4632 and 4638

(i) The GCF of 4632 and 4638 is associative

GCF of 4632 and 4638 = GCF of 4638 and 4632

Related Greatest Common Factor of 4632

Related Greatest Common Factor of 4638

Frequently Asked Questions on GCF of 4632 and 4638

1. What is the GCF of 4632 and 4638?

Answer: GCF of 4632 and 4638 is 6.

2. 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.

3. What are the Factors of 4638?

Answer: Factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638. There are 8 integers that are factors of 4638. The greatest factor of 4638 is 4638.

4. How to Find the GCF of 4632 and 4638?

Answer:

Greatest Common Factor of 4632 and 4638 = 6

Step 1: Find the prime factorization of 4632

4632 = 2 x 2 x 2 x 3 x 193

Step 2: Find the prime factorization of 4638

4638 = 2 x 3 x 773

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4632 and 4638 is 6