GCF of 1008 and 167

What is the GCF of 1008 and 167?


GCF of 1008 and 167

is 1

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What is the Greatest Common Factor of 1008 and 167? 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 1008 and 167 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1008.
    2, 2, 2, 2, 3, 3, 7
  2. Find the prime factors of the second number 167.
    167
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 1008.
    1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
  2. Find the factors of the second number 167.
    1, 167
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1008 and 167 is 1.

GCD (Greatest Common Divisor) of 1008 and 167 is 1.

HCF (Highest Common Factor) of 1008 and 167 is 1.

Number GCF LCM
1008 & 162 18 9072
1008 & 163 1 164304
1008 & 164 4 41328
1008 & 165 3 55440
1008 & 166 2 83664
1008 & 167 1 168336
1008 & 168 168 1008
1008 & 169 1 170352
1008 & 170 2 85680
1008 & 171 9 19152
1008 & 172 4 43344