GCF for 10 and 50

What is the Greatest common Divisor of 10 and 50?

Answer: GCF of 10 and 50 is 10

(Ten)

Finding GCF for 10 and 50 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 50 is to list all factors for both numbers and pick the highest common one:

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

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

So the Greatest Common Factor for 10 and 50 is 10

Finding GCF for 10 and 50 by Prime Factorization

The second method to find GCF for numbers 10 and 50 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 10: 2, 5

All Prime Factors of 50: 2, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 5

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
1501
250
3501
450
550
6502
7501
850
9501
1050
11501
1250
1350
1450
1550
1650
17501
1850
19501
2050
2150
22502
23501
2450
2550
26502
2750
28502
29501
3050

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 10 and 50? (The answer is: 10). Select the first number (e.g. '10') 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

FAQ

What is the Greatest common Divisor of 10 and 50?

GCF of 10 and 50 is 10