GCF for 60 and 90

What is the Greatest common Divisor of 60 and 90?

Answer: GCF of 60 and 90 is 30

(Thirty)

Finding GCF for 60 and 90 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 90 is to list all factors for both numbers and pick the highest common one:

All factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

All factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

So the Greatest Common Factor for 60 and 90 is 30

Finding GCF for 60 and 90 by Prime Factorization

The second method to find GCF for numbers 60 and 90 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 60: 2, 2, 3, 5

All Prime Factors of 90: 2, 3, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 3, 5

Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

GCF Table

Number 1Number 2GCF
4590
46902
47901
4890
49901
5090
51903
52902
53901
5490
5590
56902
57903
58902
59901
6090
61901
62902
6390
64902
65905
6690
67901
68902
69903
7090
71901
7290
73901
74902

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 60 and 90? (The answer is: 30). Select the first number (e.g. '60') 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 Divisor of 60 and 90?

GCF of 60 and 90 is 30