Greatest Common Factor of 864, 1584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of two or more numbers Calculator allows you to quickly calculate the GCF of 864, 1584 i.e. 144 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 864, 1584 is 144.

GCF(864, 1584) = 144

GCF of 864, 1584

Greatest common factor or Greatest common divisor (GCD) can be calculated in two ways

GCF of:

Greatest Common Factor of 864,1584

GCF of 864,1584 is 144

2 864, 1584
2 432, 792
2 216, 396
2 108, 198
3 54, 99
3 18, 33
6, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 = 144

Greatest Common Factor (GCF) By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 1584

List of positive integer factors of 1584 that divides 1584 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584

Greatest Common Factor

We found the factors 864,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 864,1584 is 144.

GCF of two or more Numbers Calculation Examples

Here are some samples of GCF of two or more Numbers calculations.

Frequently Asked Questions on GCF of 864, 1584

1. What is the GCF of 864, 1584?

Answer: GCF of 864, 1584 is 144.

2. How to Find the GCF of 864, 1584

Answer: Greatest Common Factor(GCF) of 864, 1584 = 144

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors GCF(864, 1584) = 144.