GCF of 17 and 52

What is the GCF of 17 and 52?

GCF of 17 and 52

is 1

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Greatest Common Factor

What is the Greatest Common Factor of 17 and 52? 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 17 and 52 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 17.
    17
  2. Find the prime factors of the second number 52.
    2, 2, 13
  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 17.
    1, 17
  2. Find the factors of the second number 52.
    1, 2, 4, 13, 26, 52
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 17 and 52 is 1.

GCD (Greatest Common Divisor) of 17 and 52 is 1.

HCF (Highest Common Factor) of 17 and 52 is 1.

Number GCF LCM
17 & 47 1 799
17 & 48 1 816
17 & 49 1 833
17 & 50 1 850
17 & 51 17 51
17 & 52 1 884
17 & 53 1 901
17 & 54 1 918
17 & 55 1 935
17 & 56 1 952
17 & 57 1 969
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