GCF of 212 and 1006

What is the GCF of 212 and 1006?


GCF of 212 and 1006

is 2

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 212 and 1006? 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 212 and 1006 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 212.
    2, 2, 53
  2. Find the prime factors of the second number 1006.
    2, 503
  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 212.
    1, 2, 4, 53, 106, 212
  2. Find the factors of the second number 1006.
    1, 2, 503, 1006
  3. The biggest common factor number is the GCF value. Which is,
    2

Number GCF LCM
212 & 1001 1 212212
212 & 1002 2 106212
212 & 1003 1 212636
212 & 1004 4 53212
212 & 1005 1 213060
212 & 1006 2 106636
212 & 1007 53 4028
212 & 1008 4 53424
212 & 1009 1 213908
212 & 1010 2 107060
212 & 1011 1 214332

GCF (Greatest Common Factor) of 212 and 1006 is 2.

GCD (Greatest Common Divisor) of 212 and 1006 is 2.

HCF (Highest Common Factor) of 212 and 1006 is 2.