GCF for 35 and 120

What is the Greatest common Divisor of 35 and 120?

Answer: GCF of 35 and 120 is 5

(Five)

Finding GCF for 35 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 35 and 120 is to list all factors for both numbers and pick the highest common one:

All factors of 35: 1, 5, 7, 35

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

So the Greatest Common Factor for 35 and 120 is 5

Finding GCF for 35 and 120 by Prime Factorization

The second method to find GCF for numbers 35 and 120 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 35: 5, 7

All Prime Factors of 120: 2, 2, 2, 3, 5

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 35 and 120

Related Calculations

GCF Table

Number 1Number 2GCF
20120
211203
221202
231201
24120
251205
261202
271203
281204
291201
30120
311201
321208
331203
341202
35120
36120
371201
381202
391203
40120
411201
42120
431201
441204
45120
461202
471201
48120
491201

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 35 and 120? (The answer is: 5). Select the first number (e.g. '35') and the second number (e.g. '120'). 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 35 and 120?

GCF of 35 and 120 is 5