Greatest Common Factor of 4542 and 4545

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 4542, 4545 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4542 and 4545 is 3.

GCF(4542,4545) = 3

GCF of 4542 and 4545

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

GCF of:
and

Greatest Common Factor of 4542 and 4545

GCF of 4542 and 4545 is 3

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

Prime Factorization of 4545


3 4545
3 1515
5 505
101 101
1

Prime factors of 4545 are 3,5,101. Prime factorization of 4545 in exponential form is:

4545 = 32×51×1011

∴ So by taking common prime factors GCF of 4542 and 4545 is 3

Greatest Common Factor of 4542 and 4545 by matching factors method

Factors of 4542

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

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

Factors of 4545

List of positive integer factors of 4545 that divides 4545 without a remainder.

1,3,5,9,15,45,101,303,505,909,1515,4545

Greatest Common Factor

We found the factors and prime factorization of 4542 and 4545. The biggest common factor number is the GCF number.
So the greatest common factor 4542 and 4545 is 3.

Also check out the Least Common Multiple of 4542 and 4545

Properties of GCF 4542 and 4545

(i) The GCF of 4542 and 4545 is associative

GCF of 4542 and 4545 = GCF of 4545 and 4542

Related Greatest Common Factor of 4542

Related Greatest Common Factor of 4545

Frequently Asked Questions on GCF of 4542 and 4545

1. What is the GCF of 4542 and 4545?

Answer: GCF of 4542 and 4545 is 3.

2. 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.

3. What are the Factors of 4545?

Answer: Factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545. There are 12 integers that are factors of 4545. The greatest factor of 4545 is 4545.

4. How to Find the GCF of 4542 and 4545?

Answer:

Greatest Common Factor of 4542 and 4545 = 3

Step 1: Find the prime factorization of 4542

4542 = 2 x 3 x 757

Step 2: Find the prime factorization of 4545

4545 = 3 x 3 x 5 x 101

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4542 and 4545 is 3