GCF of 997 and 37

What is the GCF of 997 and 37?


GCF of 997 and 37

is 1

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What is the Greatest Common Factor of 997 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 997 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 997.
    997
  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 997.
    1, 997
  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 997 and 37 is 1.

GCD (Greatest Common Divisor) of 997 and 37 is 1.

HCF (Highest Common Factor) of 997 and 37 is 1.

Number GCF LCM
997 & 32 1 31904
997 & 33 1 32901
997 & 34 1 33898
997 & 35 1 34895
997 & 36 1 35892
997 & 37 1 36889
997 & 38 1 37886
997 & 39 1 38883
997 & 40 1 39880
997 & 41 1 40877
997 & 42 1 41874