GCF of 39 and 13

What is the GCF of 39 and 13?

GCF of 39 and 13

is 13

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Greatest Common Factor

What is the Greatest Common Factor of 39 and 13? 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 39 and 13 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 39.
    3, 13
  2. Find the prime factors of the second number 13.
    13
  3. Multiply of all the common prime factors is the GCF value. Which is,
    13

Factors Method:

  1. Find the factors of the first number 39.
    1, 3, 13, 39
  2. Find the factors of the second number 13.
    1, 13
  3. The biggest common factor number is the GCF value. Which is,
    13

Number GCF LCM
39 & 8 1 312
39 & 9 3 117
39 & 10 1 390
39 & 11 1 429
39 & 12 3 156
39 & 13 13 39
39 & 14 1 546
39 & 15 3 195
39 & 16 1 624
39 & 17 1 663
39 & 18 3 234

GCF (Greatest Common Factor) of 39 and 13 is 13.

GCD (Greatest Common Divisor) of 39 and 13 is 13.

HCF (Highest Common Factor) of 39 and 13 is 13.
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