Greatest Common Factor of 4524 and 4532

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 4524, 4532 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4524 and 4532 is 4.

GCF(4524,4532) = 4

GCF of 4524 and 4532

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

GCF of:
and

Greatest Common Factor of 4524 and 4532

GCF of 4524 and 4532 is 4

Prime Factorization of 4524


2 4524
2 2262
3 1131
13 377
29 29
1

Prime factors of 4524 are 2,3,13,29. Prime factorization of 4524 in exponential form is:

4524 = 22×31×131×291

Prime Factorization of 4532


2 4532
2 2266
11 1133
103 103
1

Prime factors of 4532 are 2,11,103. Prime factorization of 4532 in exponential form is:

4532 = 22×111×1031

∴ So by taking common prime factors GCF of 4524 and 4532 is 4

Greatest Common Factor of 4524 and 4532 by matching factors method

Factors of 4524

List of positive integer factors of 4524 that divides 4524 without a remainder.

1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524

Factors of 4532

List of positive integer factors of 4532 that divides 4532 without a remainder.

1,2,4,11,22,44,103,206,412,1133,2266,4532

Greatest Common Factor

We found the factors and prime factorization of 4524 and 4532. The biggest common factor number is the GCF number.
So the greatest common factor 4524 and 4532 is 4.

Also check out the Least Common Multiple of 4524 and 4532

Properties of GCF 4524 and 4532

(i) The GCF of 4524 and 4532 is associative

GCF of 4524 and 4532 = GCF of 4532 and 4524

Related Greatest Common Factor of 4524

Related Greatest Common Factor of 4532

Frequently Asked Questions on GCF of 4524 and 4532

1. What is the GCF of 4524 and 4532?

Answer: GCF of 4524 and 4532 is 4.

2. What are the Factors of 4524?

Answer: Factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524. There are 24 integers that are factors of 4524. The greatest factor of 4524 is 4524.

3. What are the Factors of 4532?

Answer: Factors of 4532 are 1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266, 4532. There are 12 integers that are factors of 4532. The greatest factor of 4532 is 4532.

4. How to Find the GCF of 4524 and 4532?

Answer:

Greatest Common Factor of 4524 and 4532 = 4

Step 1: Find the prime factorization of 4524

4524 = 2 x 2 x 3 x 13 x 29

Step 2: Find the prime factorization of 4532

4532 = 2 x 2 x 11 x 103

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 4524 and 4532 is 4