GCF for 70 and 300

What is the Greatest Common Factor of 70 and 300?

Answer: GCF of 70 and 300 is 10

(Ten)

Finding GCF for 70 and 300 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 300 is to list all factors for both numbers and pick the highest common one:

All factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

All factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

So the Greatest Common Factor for 70 and 300 is 10

Finding GCF for 70 and 300 by Prime Factorization

The second method to find GCF for numbers 70 and 300 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 70: 2, 5, 7

All Prime Factors of 300: 2, 2, 3, 5, 5

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

Now we need to multiply them to find GCF: 2 Γ— 5 = 10

GCF Table

Number 1Number 2GCF
553005
563004
573003
583002
593001
6030060
613001
623002
633003
643004
653005
663006
673001
683004
693003
70300
713001
7230012
733001
743002
75300
763004
773001
783006
793001
8030020
813003
823002
833001
8430012

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 70 and 300? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '300'). 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 70 and 300?

GCF of 70 and 300 is 10