GCF for 50 and 420

What is the Greatest Common Factor of 50 and 420?

Answer: GCF of 50 and 420 is 10

(Ten)

Finding GCF for 50 and 420 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 420 is to list all factors for both numbers and pick the highest common one:

All factors of 50: 1, 2, 5, 10, 25, 50

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 50 and 420 is 10

Finding GCF for 50 and 420 by Prime Factorization

The second method to find GCF for numbers 50 and 420 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 50: 2, 5, 5

All Prime Factors of 420: 2, 2, 3, 5, 7

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
3542035
3642012
374201
384202
394203
4042020
414201
4242042
434201
444204
4542015
464202
474201
4842012
494207
5042010
514203
524204
534201
544206
554205
5642028
574203
584202
594201
6042060
614201
624202
6342021
644204

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 50 and 420? (The answer is: 10). Select the first number (e.g. '50') 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 50 and 420?

GCF of 50 and 420 is 10