GCF for 70 and 750

What is the Greatest Common Factor of 70 and 750?

Answer: GCF of 70 and 750 is 10

(Ten)

Finding GCF for 70 and 750 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 750 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 750: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

So the Greatest Common Factor for 70 and 750 is 10

Finding GCF for 70 and 750 by Prime Factorization

The second method to find GCF for numbers 70 and 750 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 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
557505
567502
577503
587502
597501
6075030
617501
627502
637503
647502
657505
667506
677501
687502
697503
7075010
717501
727506
737501
747502
7575075
767502
777501
787506
797501
8075010
817503
827502
837501
847506

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 750? (The answer is: 10). Select the first number (e.g. '70') 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 70 and 750?

GCF of 70 and 750 is 10