Greatest Common Factor of 4564 and 4571

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, 4571 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4564 and 4571 is 7.

GCF(4564,4571) = 7

GCF of 4564 and 4571

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

GCF of:
and

Greatest Common Factor of 4564 and 4571

GCF of 4564 and 4571 is 7

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 4571


7 4571
653 653
1

Prime factors of 4571 are 7,653. Prime factorization of 4571 in exponential form is:

4571 = 71×6531

∴ So by taking common prime factors GCF of 4564 and 4571 is 7

Greatest Common Factor of 4564 and 4571 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 4571

List of positive integer factors of 4571 that divides 4571 without a remainder.

1,7,653,4571

Greatest Common Factor

We found the factors and prime factorization of 4564 and 4571. The biggest common factor number is the GCF number.
So the greatest common factor 4564 and 4571 is 7.

Also check out the Least Common Multiple of 4564 and 4571

Properties of GCF 4564 and 4571

(i) The GCF of 4564 and 4571 is associative

GCF of 4564 and 4571 = GCF of 4571 and 4564

Related Greatest Common Factor of 4564

Related Greatest Common Factor of 4571

Frequently Asked Questions on GCF of 4564 and 4571

1. What is the GCF of 4564 and 4571?

Answer: GCF of 4564 and 4571 is 7.

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 4571?

Answer: Factors of 4571 are 1, 7, 653, 4571. There are 4 integers that are factors of 4571. The greatest factor of 4571 is 4571.

4. How to Find the GCF of 4564 and 4571?

Answer:

Greatest Common Factor of 4564 and 4571 = 7

Step 1: Find the prime factorization of 4564

4564 = 2 x 2 x 7 x 163

Step 2: Find the prime factorization of 4571

4571 = 7 x 653

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 4564 and 4571 is 7