GCF of 1008 and 37

What is the GCF of 1008 and 37?


GCF of 1008 and 37

is 1

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What is the Greatest Common Factor of 1008 and 37? 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 37 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 37.
    37
  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 37.
    1, 37
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1008 and 37 is 1.

GCD (Greatest Common Divisor) of 1008 and 37 is 1.

HCF (Highest Common Factor) of 1008 and 37 is 1.

Number GCF LCM
1008 & 32 16 2016
1008 & 33 3 11088
1008 & 34 2 17136
1008 & 35 7 5040
1008 & 36 36 1008
1008 & 37 1 37296
1008 & 38 2 19152
1008 & 39 3 13104
1008 & 40 8 5040
1008 & 41 1 41328
1008 & 42 42 1008