Greatest Common Factor of 800, 1400

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 800, 1400 i.e. 200 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 800, 1400 is 200.

GCF(800, 1400) = 200

GCF of 800, 1400

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

GCF of:

Greatest Common Factor of 800,1400

GCF of 800,1400 is 200

2 800, 1400
2 400, 700
2 200, 350
5 100, 175
5 20, 35
4, 7

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 x 5 = 200

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

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 1400

List of positive integer factors of 1400 that divides 1400 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400

Greatest Common Factor

We found the factors 800,1400 . The biggest common factor number is the GCF number.
So the greatest common factor 800,1400 is 200.

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 800, 1400

1. What is the GCF of 800, 1400?

Answer: GCF of 800, 1400 is 200.

2. How to Find the GCF of 800, 1400

Answer: Greatest Common Factor(GCF) of 800, 1400 = 200

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

Step 2: Then multiply all the prime factors GCF(800, 1400) = 200.