GCF for 58 and 60

What is the Greatest common Divisor of 58 and 60?

Answer: GCF of 58 and 60 is 2

(Two)

Finding GCF for 58 and 60 using all factors (divisors) listing

The first method to find GCF for numbers 58 and 60 is to list all factors for both numbers and pick the highest common one:

All factors of 58: 1, 2, 29, 58

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

So the Greatest Common Factor for 58 and 60 is 2

Finding GCF for 58 and 60 by Prime Factorization

The second method to find GCF for numbers 58 and 60 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 58: 2, 29

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

As we can see there is only one Prime Factor common to both numbers. It is 2

So 2 is the Greatest Common Factor of 58 and 60

Related Calculations

GCF Table

Number 1Number 2GCF
43601
4460
4560
46602
47601
4860
49601
5060
51603
52604
53601
5460
5560
5660
57603
58602
59601
606060
61601
62602
63603
64604
65605
66606
67601
68604
69603
706010
71601
726012

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 58 and 60? (The answer is: 2). Select the first number (e.g. '58') and the second number (e.g. '60'). 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 58 and 60?

GCF of 58 and 60 is 2