GCF of 59 and 9

What is the GCF of 59 and 9?


GCF of 59 and 9

is 1

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What is the Greatest Common Factor of 59 and 9? 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 59 and 9 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 59.
    59
  2. Find the prime factors of the second number 9.
    3, 3
  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 59.
    1, 59
  2. Find the factors of the second number 9.
    1, 3, 9
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 59 and 9 is 1.

GCD (Greatest Common Divisor) of 59 and 9 is 1.

HCF (Highest Common Factor) of 59 and 9 is 1.

Number GCF LCM
59 & 4 1 236
59 & 5 1 295
59 & 6 1 354
59 & 7 1 413
59 & 8 1 472
59 & 9 1 531
59 & 10 1 590
59 & 11 1 649
59 & 12 1 708
59 & 13 1 767
59 & 14 1 826