GCF for 70 and 540

What is the Greatest Common Factor of 70 and 540?

Answer: GCF of 70 and 540 is 10

(Ten)

Finding GCF for 70 and 540 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 540 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 540: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

So the Greatest Common Factor for 70 and 540 is 10

Finding GCF for 70 and 540 by Prime Factorization

The second method to find GCF for numbers 70 and 540 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 540: 2, 2, 3, 3, 3, 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
555405
565404
575403
585402
595401
6054060
615401
625402
635409
645404
655405
665406
675401
685404
695403
7054010
715401
7254036
735401
745402
7554015
765404
775401
785406
795401
8054020
8154027
825402
835401
8454012

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 540? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '540'). 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 540?

GCF of 70 and 540 is 10