GCF for 92 and 100

What is the Greatest common Divisor of 92 and 100?

Answer: GCF of 92 and 100 is 4

(Four)

Finding GCF for 92 and 100 using all factors (divisors) listing

The first method to find GCF for numbers 92 and 100 is to list all factors for both numbers and pick the highest common one:

All factors of 92: 1, 2, 4, 23, 46, 92

All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

So the Greatest Common Factor for 92 and 100 is 4

Finding GCF for 92 and 100 by Prime Factorization

The second method to find GCF for numbers 92 and 100 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 92: 2, 2, 23

All Prime Factors of 100: 2, 2, 5, 5

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

Now we need to multiply them to find GCF: 2 × 2 = 4

GCF Table

Number 1Number 2GCF
77100
781002
791001
80100
81100
82100
831001
84100
85100
86100
871001
88100
891001
90100
911001
92100
931001
94100
95100
961004
971001
981002
99100
100100
1011001
1021002
1031001
1041004
1051005
1061002

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 92 and 100? (The answer is: 4). Select the first number (e.g. '92') and the second number (e.g. '100'). 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 92 and 100?

GCF of 92 and 100 is 4