# GCF of 66 and 100

## What is the GCF of 66 and 100?

### is 2

##### Reference This Calculation:

What is the Greatest Common Factor of 66 and 100? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 66 and 100 using those formula above, step by step instructions are given below

Prime Factorization Method:

1. Find the prime factors of the first number 66.
2, 3, 11
2. Find the prime factors of the second number 100.
2, 2, 5, 5
3. Multiply of all the common prime factors is the GCF value. Which is,
2

Factors Method:

1. Find the factors of the first number 66.
1, 2, 3, 6, 11, 22, 33, 66
2. Find the factors of the second number 100.
1, 2, 4, 5, 10, 20, 25, 50, 100
3. The biggest common factor number is the GCF value. Which is,
2
GCF (Greatest Common Factor) of 66 and 100 is 2.
GCD (Greatest Common Divisor) of 66 and 100 is 2.
HCF (Highest Common Factor) of 66 and 100 is 2.
Number GCF LCM
66 & 95 1 6270
66 & 96 6 1056
66 & 97 1 6402
66 & 98 2 3234
66 & 99 33 198
66 & 100 2 3300
66 & 101 1 6666
66 & 102 6 1122
66 & 103 1 6798
66 & 104 2 3432
66 & 105 3 2310
→
→
→
→
→
→
→
→
→
→
→
→
→
→
→
→
→
→