GCF for 70 and 690

What is the Greatest Common Factor of 70 and 690?

Answer: GCF of 70 and 690 is 10

(Ten)

Finding GCF for 70 and 690 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 690 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 690: 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

So the Greatest Common Factor for 70 and 690 is 10

Finding GCF for 70 and 690 by Prime Factorization

The second method to find GCF for numbers 70 and 690 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 690: 2, 3, 5, 23

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
556905
566902
576903
586902
596901
6069030
616901
626902
636903
646902
656905
666906
676901
686902
6969069
7069010
716901
726906
736901
746902
7569015
766902
776901
786906
796901
8069010
816903
826902
836901
846906

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 690? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '690'). 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 690?

GCF of 70 and 690 is 10