GCF for 70 and 735

What is the Greatest Common Factor of 70 and 735?

Answer: GCF of 70 and 735 is 35

(Thirty-five)

Finding GCF for 70 and 735 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 735 is to list all factors for both numbers and pick the highest common one:

All factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

All factors of 735: 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

So the Greatest Common Factor for 70 and 735 is 35

Finding GCF for 70 and 735 by Prime Factorization

The second method to find GCF for numbers 70 and 735 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 70: 2, 5, 7

All Prime Factors of 735: 3, 5, 7, 7

As we can see there are Prime Factors common to both numbers: 5, 7

Now we need to multiply them to find GCF: 5 Γ— 7 = 35

GCF Table

Number 1Number 2GCF
557355
567357
577353
587351
597351
6073515
617351
627351
6373521
647351
657355
667353
677351
687351
697353
70735
717351
727353
737351
747351
7573515
767351
777357
787353
797351
807355
817353
827351
837351
8473521

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 70 and 735? (The answer is: 35). Select the first number (e.g. '70') and the second number (e.g. '735'). 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 70 and 735?

GCF of 70 and 735 is 35