GCF for 50 and 74

What is the Greatest Common Factor of 50 and 74?

Answer: GCF of 50 and 74 is 2

(Two)

Finding GCF for 50 and 74 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 74 is to list all factors for both numbers and pick the highest common one:

All factors of 50: 1, 2, 5, 10, 25, 50

All factors of 74: 1, 2, 37, 74

So the Greatest Common Factor for 50 and 74 is 2

Finding GCF for 50 and 74 by Prime Factorization

The second method to find GCF for numbers 50 and 74 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 50: 2, 5, 5

All Prime Factors of 74: 2, 37

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 50 and 74

GCF Table

Number 1Number 2GCF
35741
36742
3774
38742
39741
40742
41741
42742
43741
44742
45741
46742
47741
48742
49741
50742
51741
52742
53741
54742
55741
56742
57741
58742
59741
60742
61741
62742
63741
64742

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 50 and 74? (The answer is: 2). Select the first number (e.g. '50') and the second number (e.g. '74'). 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 50 and 74?

GCF of 50 and 74 is 2