GCF for 20 and 750

What is the Greatest Common Factor of 20 and 750?

Answer: GCF of 20 and 750 is 10

(Ten)

Finding GCF for 20 and 750 using all factors (divisors) listing

The first method to find GCF for numbers 20 and 750 is to list all factors for both numbers and pick the highest common one:

All factors of 20: 1, 2, 4, 5, 10, 20

All factors of 750: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

So the Greatest Common Factor for 20 and 750 is 10

Finding GCF for 20 and 750 by Prime Factorization

The second method to find GCF for numbers 20 and 750 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 20: 2, 2, 5

All Prime Factors of 750: 2, 3, 5, 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

Related Calculations

GCF Table

Number 1Number 2GCF
57505
67506
77501
87502
97503
1075010
117501
127506
137501
147502
1575015
167502
177501
187506
197501
2075010
217503
227502
237501
247506
2575025
267502
277503
287502
297501
3075030
317501
327502
337503
347502

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 20 and 750? (The answer is: 10). Select the first number (e.g. '20') and the second number (e.g. '750'). 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 20 and 750?

GCF of 20 and 750 is 10