Greatest Common Factor of 72, 54, 414
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 72, 54, 414 i.e. 18 largest integer that divides all the numbers equally.
Greatest common factor (GCF) of 72, 54, 414 is 18.
GCF(72, 54, 414) = 18
GCF of 72, 54, 414
Greatest common factor or Greatest common divisor (GCD) can be calculated in two ways
- Greatest Common Factor of 72, 54, 414 by common division method
- Greatest Common Factor of 72, 54, 414 with matching the biggest common factor
GCF of 72,54,414 is 18
| 2 | 72, 54, 414 |
| 3 | 36, 27, 207 |
| 3 | 12, 9, 69 |
| 4, 3, 23 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 72,54,414 . The biggest common factor number is the GCF number.
So the greatest common factor 72,54,414 is 18.
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 72, 54, 414
1. What is the GCF of 72, 54, 414?
Answer: GCF of 72, 54, 414 is 18.
2. How to Find the GCF of 72, 54, 414
Answer: Greatest Common Factor(GCF) of 72, 54, 414 = 18
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors GCF(72, 54, 414) = 18.