GCF for 21 and 48

What is the Greatest Common Factor of 21 and 48?

Answer: GCF of 21 and 48 is 3

(Three)

Finding GCF for 21 and 48 using all factors (divisors) listing

The first method to find GCF for numbers 21 and 48 is to list all factors for both numbers and pick the highest common one:

All factors of 21: 1, 3, 7, 21

All factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

So the Greatest Common Factor for 21 and 48 is 3

Finding GCF for 21 and 48 by Prime Factorization

The second method to find GCF for numbers 21 and 48 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 21: 3, 7

All Prime Factors of 48: 2, 2, 2, 2, 3

As we can see there is only one Prime Factor common to both numbers. It is 3

So 3 is the Greatest Common Factor of 21 and 48

Related Calculations

GCF Table

Number 1Number 2GCF
648
748
848
9483
10482
11481
1248
13481
1448
1548
1648
17481
1848
1948
2048
2148
2248
23481
2448
25481
2648
2748
2848
29481
3048
31481
3248
33483
3448
3548

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 21 and 48? (The answer is: 3). Select the first number (e.g. '21') and the second number (e.g. '48'). 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 21 and 48?

GCF of 21 and 48 is 3