Greatest Common Factor of 105, 1305

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 105, 1305 i.e. 15 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 105, 1305 is 15.

GCF(105, 1305) = 15

GCF of 105, 1305

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

GCF of:

Greatest Common Factor of 105,1305

GCF of 105,1305 is 15

3 105, 1305
5 35, 435
7, 87

∴ So the GCF of the given numbers is 3 x 5 = 15

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

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 1305

List of positive integer factors of 1305 that divides 1305 without a remainder.

1,3,5,9,15,29,45,87,145,261,435,1305

Greatest Common Factor

We found the factors 105,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 105,1305 is 15.

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 105, 1305

1. What is the GCF of 105, 1305?

Answer: GCF of 105, 1305 is 15.

2. How to Find the GCF of 105, 1305

Answer: Greatest Common Factor(GCF) of 105, 1305 = 15

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

Step 2: Then multiply all the prime factors GCF(105, 1305) = 15.