Greatest Common Factor of 4564 and 4566

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 4564, 4566 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4564 and 4566 is 2.

GCF(4564,4566) = 2

GCF of 4564 and 4566

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

GCF of:
and

Greatest Common Factor of 4564 and 4566

GCF of 4564 and 4566 is 2

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

Prime Factorization of 4566


2 4566
3 2283
761 761
1

Prime factors of 4566 are 2,3,761. Prime factorization of 4566 in exponential form is:

4566 = 21×31×7611

∴ So by taking common prime factors GCF of 4564 and 4566 is 2

Greatest Common Factor of 4564 and 4566 by matching factors method

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

Factors of 4566

List of positive integer factors of 4566 that divides 4566 without a remainder.

1,2,3,6,761,1522,2283,4566

Greatest Common Factor

We found the factors and prime factorization of 4564 and 4566. The biggest common factor number is the GCF number.
So the greatest common factor 4564 and 4566 is 2.

Also check out the Least Common Multiple of 4564 and 4566

Properties of GCF 4564 and 4566

(i) The GCF of 4564 and 4566 is associative

GCF of 4564 and 4566 = GCF of 4566 and 4564

Related Greatest Common Factor of 4564

Related Greatest Common Factor of 4566

Frequently Asked Questions on GCF of 4564 and 4566

1. What is the GCF of 4564 and 4566?

Answer: GCF of 4564 and 4566 is 2.

2. 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.

3. What are the Factors of 4566?

Answer: Factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566. There are 8 integers that are factors of 4566. The greatest factor of 4566 is 4566.

4. How to Find the GCF of 4564 and 4566?

Answer:

Greatest Common Factor of 4564 and 4566 = 2

Step 1: Find the prime factorization of 4564

4564 = 2 x 2 x 7 x 163

Step 2: Find the prime factorization of 4566

4566 = 2 x 3 x 761

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4564 and 4566 is 2