GCF for 42 and 52

What is the Greatest Common Factor of 42 and 52?

Answer: GCF of 42 and 52 is 2

(Two)

Finding GCF for 42 and 52 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 52 is to list all factors for both numbers and pick the highest common one:

All factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

All factors of 52: 1, 2, 4, 13, 26, 52

So the Greatest Common Factor for 42 and 52 is 2

Finding GCF for 42 and 52 by Prime Factorization

The second method to find GCF for numbers 42 and 52 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 42: 2, 3, 7

All Prime Factors of 52: 2, 2, 13

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 42 and 52

Related Calculations

GCF Table

Number 1Number 2GCF
2752
28524
29521
30522
31521
32524
33521
34522
35521
36524
37521
38522
3952
40524
41521
42522
43521
4452
45521
46522
47521
48524
49521
50522
51521
525252
53521
54522
55521
56524

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 42 and 52? (The answer is: 2). Select the first number (e.g. '42') and the second number (e.g. '52'). 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 42 and 52?

GCF of 42 and 52 is 2