GCF for 60 and 420

What is the Greatest Common Factor of 60 and 420?

Answer: GCF of 60 and 420 is 60

(Sixty)

Finding GCF for 60 and 420 using all factors (divisors) listing

The first method to find GCF for numbers 60 and 420 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 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

So the Greatest Common Factor for 60 and 420 is 60

Finding GCF for 60 and 420 by Prime Factorization

The second method to find GCF for numbers 60 and 420 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 420: 2, 2, 3, 5, 7

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

Now we need to multiply them to find GCF: 2 × 2 × 3 × 5 = 60

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GCF Table

Number 1Number 2GCF
4542015
464202
474201
4842012
494207
5042010
514203
524204
534201
544206
554205
5642028
574203
584202
594201
6042060
614201
624202
6342021
644204
654205
664206
674201
684204
694203
7042070
714201
7242012
734201
744202

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 60 and 420? (The answer is: 60). Select the first number (e.g. '60') and the second number (e.g. '420'). 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 60 and 420?

GCF of 60 and 420 is 60