Greatest Common Factor of 4557 and 4564

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 4557, 4564 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4557 and 4564 is 7.

GCF(4557,4564) = 7

GCF of 4557 and 4564

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

GCF of:
and

Greatest Common Factor of 4557 and 4564

GCF of 4557 and 4564 is 7

Prime Factorization of 4557


3 4557
7 1519
7 217
31 31
1

Prime factors of 4557 are 3,7,31. Prime factorization of 4557 in exponential form is:

4557 = 31×72×311

Prime Factorization of 4564


2 4564
2 2282
7 1141
163 163
1

Prime factors of 4564 are 2,7,163. Prime factorization of 4564 in exponential form is:

4564 = 22×71×1631

∴ So by taking common prime factors GCF of 4557 and 4564 is 7

Greatest Common Factor of 4557 and 4564 by matching factors method

Factors of 4557

List of positive integer factors of 4557 that divides 4557 without a remainder.

1,3,7,21,31,49,93,147,217,651,1519,4557

Factors of 4564

List of positive integer factors of 4564 that divides 4564 without a remainder.

1,2,4,7,14,28,163,326,652,1141,2282,4564

Greatest Common Factor

We found the factors and prime factorization of 4557 and 4564. The biggest common factor number is the GCF number.
So the greatest common factor 4557 and 4564 is 7.

Also check out the Least Common Multiple of 4557 and 4564

Properties of GCF 4557 and 4564

(i) The GCF of 4557 and 4564 is associative

GCF of 4557 and 4564 = GCF of 4564 and 4557

Related Greatest Common Factor of 4557

Related Greatest Common Factor of 4564

Frequently Asked Questions on GCF of 4557 and 4564

1. What is the GCF of 4557 and 4564?

Answer: GCF of 4557 and 4564 is 7.

2. What are the Factors of 4557?

Answer: Factors of 4557 are 1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557. There are 12 integers that are factors of 4557. The greatest factor of 4557 is 4557.

3. What are the Factors of 4564?

Answer: Factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564. There are 12 integers that are factors of 4564. The greatest factor of 4564 is 4564.

4. How to Find the GCF of 4557 and 4564?

Answer:

Greatest Common Factor of 4557 and 4564 = 7

Step 1: Find the prime factorization of 4557

4557 = 3 x 7 x 7 x 31

Step 2: Find the prime factorization of 4564

4564 = 2 x 2 x 7 x 163

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 4557 and 4564 is 7