GCF for 14 and 90

What is the Greatest Common Factor of 14 and 90?

Answer: GCF of 14 and 90 is 2

(Two)

Finding GCF for 14 and 90 using all factors (divisors) listing

The first method to find GCF for numbers 14 and 90 is to list all factors for both numbers and pick the highest common one:

All factors of 14: 1, 2, 7, 14

All factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

So the Greatest Common Factor for 14 and 90 is 2

Finding GCF for 14 and 90 by Prime Factorization

The second method to find GCF for numbers 14 and 90 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 14: 2, 7

All Prime Factors of 90: 2, 3, 3, 5

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 14 and 90

Related Calculations

GCF Table

Number 1Number 2GCF
1901
2902
3903
4902
5905
6906
7901
8902
9909
109010
11901
1290
13901
14902
1590
16902
17901
1890
19901
209010
21903
22902
23901
2490
2590
26902
2790
2890
29901
3090

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Factor of 14 and 90? (The answer is: 2). Select the first number (e.g. '14') and the second number (e.g. '90'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

FAQ

What is the Greatest Common Factor of 14 and 90?

GCF of 14 and 90 is 2