GCF of 13 and 559

What is the GCF of 13 and 559?


GCF of 13 and 559

is 13

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 13 and 559? 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 13 and 559 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 13.
    13
  2. Find the prime factors of the second number 559.
    13, 43
  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 13.
    1, 13
  2. Find the factors of the second number 559.
    1, 13, 43, 559
  3. The biggest common factor number is the GCF value. Which is,
    13

GCF (Greatest Common Factor) of 13 and 559 is 13.

GCD (Greatest Common Divisor) of 13 and 559 is 13.

HCF (Highest Common Factor) of 13 and 559 is 13.

Number GCF LCM
13 & 554 1 7202
13 & 555 1 7215
13 & 556 1 7228
13 & 557 1 7241
13 & 558 1 7254
13 & 559 13 559
13 & 560 1 7280
13 & 561 1 7293
13 & 562 1 7306
13 & 563 1 7319
13 & 564 1 7332