GCF for 70 and 130

What is the Greatest common Divisor of 70 and 130?

Answer: GCF of 70 and 130 is 10

(Ten)

Finding GCF for 70 and 130 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 130 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 130: 1, 2, 5, 10, 13, 26, 65, 130

So the Greatest Common Factor for 70 and 130 is 10

Finding GCF for 70 and 130 by Prime Factorization

The second method to find GCF for numbers 70 and 130 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 130: 2, 5, 13

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
551305
561302
571301
581302
591301
6013010
611301
621302
631301
641302
6513065
661302
671301
681302
691301
70130
711301
721302
731301
741302
751305
761302
771301
78130
791301
8013010
811301
821302
831301
841302

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 70 and 130? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '130'). 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 70 and 130?

GCF of 70 and 130 is 10