GCF for 2 and 50

What is the Greatest common Divisor of 2 and 50?

Answer: GCF of 2 and 50 is 2

(Two)

Finding GCF for 2 and 50 using all factors (divisors) listing

The first method to find GCF for numbers 2 and 50 is to list all factors for both numbers and pick the highest common one:

All factors of 2: 1, 2

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

So the Greatest Common Factor for 2 and 50 is 2

Finding GCF for 2 and 50 by Prime Factorization

The second method to find GCF for numbers 2 and 50 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 2: 2

All Prime Factors of 50: 2, 5, 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 2 and 50

See Also

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

GCF Table

Number 1Number 2GCF
1501
250
3501
4502
550
6502
7501
850
950
1050
11501
1250
13501
1450
1550
1650
17501
1850
19501
2050
2150
22502
23501
2450
2550
26502
27501
2850
29501
3050

FAQ

What is the Greatest common Divisor of 2 and 50?

GCF of 2 and 50 is 2