Greatest Common Factor of 4536 and 4542

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 4536, 4542 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4536 and 4542 is 6.

GCF(4536,4542) = 6

GCF of 4536 and 4542

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

GCF of:
and

Greatest Common Factor of 4536 and 4542

GCF of 4536 and 4542 is 6

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

Prime Factorization of 4542


2 4542
3 2271
757 757
1

Prime factors of 4542 are 2,3,757. Prime factorization of 4542 in exponential form is:

4542 = 21×31×7571

∴ So by taking common prime factors GCF of 4536 and 4542 is 6

Greatest Common Factor of 4536 and 4542 by matching factors method

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

Factors of 4542

List of positive integer factors of 4542 that divides 4542 without a remainder.

1,2,3,6,757,1514,2271,4542

Greatest Common Factor

We found the factors and prime factorization of 4536 and 4542. The biggest common factor number is the GCF number.
So the greatest common factor 4536 and 4542 is 6.

Also check out the Least Common Multiple of 4536 and 4542

Properties of GCF 4536 and 4542

(i) The GCF of 4536 and 4542 is associative

GCF of 4536 and 4542 = GCF of 4542 and 4536

Related Greatest Common Factor of 4536

Related Greatest Common Factor of 4542

Frequently Asked Questions on GCF of 4536 and 4542

1. What is the GCF of 4536 and 4542?

Answer: GCF of 4536 and 4542 is 6.

2. 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.

3. What are the Factors of 4542?

Answer: Factors of 4542 are 1, 2, 3, 6, 757, 1514, 2271, 4542. There are 8 integers that are factors of 4542. The greatest factor of 4542 is 4542.

4. How to Find the GCF of 4536 and 4542?

Answer:

Greatest Common Factor of 4536 and 4542 = 6

Step 1: Find the prime factorization of 4536

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

Step 2: Find the prime factorization of 4542

4542 = 2 x 3 x 757

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 4536 and 4542 is 6