GCF for 70 and 90

What is the Greatest Common Factor of 70 and 90?

Answer: GCF of 70 and 90 is 10

(Ten)

Finding GCF for 70 and 90 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 90 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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

So the Greatest Common Factor for 70 and 90 is 10

Finding GCF for 70 and 90 by Prime Factorization

The second method to find GCF for numbers 70 and 90 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 90: 2, 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 Γ— 5 = 10

GCF Table

Number 1Number 2GCF
55905
56902
57903
58902
59901
6090
61901
62902
6390
64902
65905
6690
67901
68902
69903
7090
71901
7290
73901
74902
7590
76902
77901
78906
79901
8090
81909
82902
83901
8490

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 90? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '90'). 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 90?

GCF of 70 and 90 is 10