GCF for 84 and 87

What is the Greatest common Divisor of 84 and 87?

Answer: GCF of 84 and 87 is 3

(Three)

Finding GCF for 84 and 87 using all factors (divisors) listing

The first method to find GCF for numbers 84 and 87 is to list all factors for both numbers and pick the highest common one:

All factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

All factors of 87: 1, 3, 29, 87

So the Greatest Common Factor for 84 and 87 is 3

Finding GCF for 84 and 87 by Prime Factorization

The second method to find GCF for numbers 84 and 87 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 84: 2, 2, 3, 7

All Prime Factors of 87: 3, 29

As we can see there is only one Prime Factor common to both numbers. It is 3

So 3 is the Greatest Common Factor of 84 and 87

Related Calculations

GCF Table

Number 1Number 2GCF
69873
70871
71871
72873
73871
74871
75873
76871
77871
78873
79871
80871
81873
82871
83871
84873
85871
86871
878787
88871
89871
90873
91871
92871
93873
94871
95871
96873
97871
98871

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 84 and 87? (The answer is: 3). Select the first number (e.g. '84') and the second number (e.g. '87'). 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 84 and 87?

GCF of 84 and 87 is 3