GCF for 50 and 315

What is the Greatest Common Factor of 50 and 315?

Answer: GCF of 50 and 315 is 5

(Five)

Finding GCF for 50 and 315 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 315 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 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

So the Greatest Common Factor for 50 and 315 is 5

Finding GCF for 50 and 315 by Prime Factorization

The second method to find GCF for numbers 50 and 315 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 315: 3, 3, 5, 7

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 50 and 315

GCF Table

Number 1Number 2GCF
3531535
363159
373151
383151
393153
403155
413151
4231521
433151
443151
4531545
463151
473151
483153
493157
503155
513153
523151
533151
543159
553155
563157
573153
583151
593151
6031515
613151
623151
6331563
643151

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 315? (The answer is: 5). Select the first number (e.g. '50') and the second number (e.g. '315'). 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 315?

GCF of 50 and 315 is 5