Greatest Common Factor of 784, 448

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 784, 448 i.e. 112 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 784, 448 is 112.

GCF(784, 448) = 112

GCF of 784, 448

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

GCF of:

Greatest Common Factor of 784,448

GCF of 784,448 is 112

2 784, 448
2 392, 224
2 196, 112
2 98, 56
7 49, 28
7, 4

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 7 = 112

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

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 784,448 . The biggest common factor number is the GCF number.
So the greatest common factor 784,448 is 112.

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 784, 448

1. What is the GCF of 784, 448?

Answer: GCF of 784, 448 is 112.

2. How to Find the GCF of 784, 448

Answer: Greatest Common Factor(GCF) of 784, 448 = 112

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

Step 2: Then multiply all the prime factors GCF(784, 448) = 112.