Greatest Common Factor of 4644 and 4652

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 4644, 4652 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4644 and 4652 is 4.

GCF(4644,4652) = 4

GCF of 4644 and 4652

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

GCF of:
and

Greatest Common Factor of 4644 and 4652

GCF of 4644 and 4652 is 4

Prime Factorization of 4644


2 4644
2 2322
3 1161
3 387
3 129
43 43
1

Prime factors of 4644 are 2,3,43. Prime factorization of 4644 in exponential form is:

4644 = 22×33×431

Prime Factorization of 4652


2 4652
2 2326
1163 1163
1

Prime factors of 4652 are 2,1163. Prime factorization of 4652 in exponential form is:

4652 = 22×11631

∴ So by taking common prime factors GCF of 4644 and 4652 is 4

Greatest Common Factor of 4644 and 4652 by matching factors method

Factors of 4644

List of positive integer factors of 4644 that divides 4644 without a remainder.

1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644

Factors of 4652

List of positive integer factors of 4652 that divides 4652 without a remainder.

1,2,4,1163,2326,4652

Greatest Common Factor

We found the factors and prime factorization of 4644 and 4652. The biggest common factor number is the GCF number.
So the greatest common factor 4644 and 4652 is 4.

Also check out the Least Common Multiple of 4644 and 4652

Properties of GCF 4644 and 4652

(i) The GCF of 4644 and 4652 is associative

GCF of 4644 and 4652 = GCF of 4652 and 4644

Related Greatest Common Factor of 4644

Related Greatest Common Factor of 4652

Frequently Asked Questions on GCF of 4644 and 4652

1. What is the GCF of 4644 and 4652?

Answer: GCF of 4644 and 4652 is 4.

2. What are the Factors of 4644?

Answer: Factors of 4644 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644. There are 24 integers that are factors of 4644. The greatest factor of 4644 is 4644.

3. What are the Factors of 4652?

Answer: Factors of 4652 are 1, 2, 4, 1163, 2326, 4652. There are 6 integers that are factors of 4652. The greatest factor of 4652 is 4652.

4. How to Find the GCF of 4644 and 4652?

Answer:

Greatest Common Factor of 4644 and 4652 = 4

Step 1: Find the prime factorization of 4644

4644 = 2 x 2 x 3 x 3 x 3 x 43

Step 2: Find the prime factorization of 4652

4652 = 2 x 2 x 1163

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 4644 and 4652 is 4