Greatest Common Factor of 4560 and 4568

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 4560, 4568 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4560 and 4568 is 8.

GCF(4560,4568) = 8

GCF of 4560 and 4568

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

GCF of:
and

Greatest Common Factor of 4560 and 4568

GCF of 4560 and 4568 is 8

Prime Factorization of 4560


2 4560
2 2280
2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 4560 are 2,3,5,19. Prime factorization of 4560 in exponential form is:

4560 = 24×31×51×191

Prime Factorization of 4568


2 4568
2 2284
2 1142
571 571
1

Prime factors of 4568 are 2,571. Prime factorization of 4568 in exponential form is:

4568 = 23×5711

∴ So by taking common prime factors GCF of 4560 and 4568 is 8

Greatest Common Factor of 4560 and 4568 by matching factors method

Factors of 4560

List of positive integer factors of 4560 that divides 4560 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,38,40,48,57,60,76,80,95,114,120,152,190,228,240,285,304,380,456,570,760,912,1140,1520,2280,4560

Factors of 4568

List of positive integer factors of 4568 that divides 4568 without a remainder.

1,2,4,8,571,1142,2284,4568

Greatest Common Factor

We found the factors and prime factorization of 4560 and 4568. The biggest common factor number is the GCF number.
So the greatest common factor 4560 and 4568 is 8.

Also check out the Least Common Multiple of 4560 and 4568

Properties of GCF 4560 and 4568

(i) The GCF of 4560 and 4568 is associative

GCF of 4560 and 4568 = GCF of 4568 and 4560

Related Greatest Common Factor of 4560

Related Greatest Common Factor of 4568

Frequently Asked Questions on GCF of 4560 and 4568

1. What is the GCF of 4560 and 4568?

Answer: GCF of 4560 and 4568 is 8.

2. What are the Factors of 4560?

Answer: Factors of 4560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 380, 456, 570, 760, 912, 1140, 1520, 2280, 4560. There are 40 integers that are factors of 4560. The greatest factor of 4560 is 4560.

3. What are the Factors of 4568?

Answer: Factors of 4568 are 1, 2, 4, 8, 571, 1142, 2284, 4568. There are 8 integers that are factors of 4568. The greatest factor of 4568 is 4568.

4. How to Find the GCF of 4560 and 4568?

Answer:

Greatest Common Factor of 4560 and 4568 = 8

Step 1: Find the prime factorization of 4560

4560 = 2 x 2 x 2 x 2 x 3 x 5 x 19

Step 2: Find the prime factorization of 4568

4568 = 2 x 2 x 2 x 571

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4560 and 4568 is 8