Greatest Common Factor of 4529 and 4536

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 4529, 4536 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4529 and 4536 is 7.

GCF(4529,4536) = 7

GCF of 4529 and 4536

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

GCF of:
and

Greatest Common Factor of 4529 and 4536

GCF of 4529 and 4536 is 7

Prime Factorization of 4529


7 4529
647 647
1

Prime factors of 4529 are 7,647. Prime factorization of 4529 in exponential form is:

4529 = 71×6471

Prime Factorization of 4536


2 4536
2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 4536 are 2,3,7. Prime factorization of 4536 in exponential form is:

4536 = 23×34×71

∴ So by taking common prime factors GCF of 4529 and 4536 is 7

Greatest Common Factor of 4529 and 4536 by matching factors method

Factors of 4529

List of positive integer factors of 4529 that divides 4529 without a remainder.

1,7,647,4529

Factors of 4536

List of positive integer factors of 4536 that divides 4536 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,81,84,108,126,162,168,189,216,252,324,378,504,567,648,756,1134,1512,2268,4536

Greatest Common Factor

We found the factors and prime factorization of 4529 and 4536. The biggest common factor number is the GCF number.
So the greatest common factor 4529 and 4536 is 7.

Also check out the Least Common Multiple of 4529 and 4536

Properties of GCF 4529 and 4536

(i) The GCF of 4529 and 4536 is associative

GCF of 4529 and 4536 = GCF of 4536 and 4529

Related Greatest Common Factor of 4529

Related Greatest Common Factor of 4536

Frequently Asked Questions on GCF of 4529 and 4536

1. What is the GCF of 4529 and 4536?

Answer: GCF of 4529 and 4536 is 7.

2. What are the Factors of 4529?

Answer: Factors of 4529 are 1, 7, 647, 4529. There are 4 integers that are factors of 4529. The greatest factor of 4529 is 4529.

3. What are the Factors of 4536?

Answer: Factors of 4536 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536. There are 40 integers that are factors of 4536. The greatest factor of 4536 is 4536.

4. How to Find the GCF of 4529 and 4536?

Answer:

Greatest Common Factor of 4529 and 4536 = 7

Step 1: Find the prime factorization of 4529

4529 = 7 x 647

Step 2: Find the prime factorization of 4536

4536 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4529 and 4536 is 7