GCF of 26 and 52

What is the GCF of 26 and 52?


GCF of 26 and 52

is 26

Formula How to

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What is the Greatest Common Factor of 26 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 26 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 26.
    2, 13
  2. Find the prime factors of the second number 52.
    2, 2, 13
  3. Multiply of all the common prime factors is the GCF value. Which is,
    26

Factors Method:

  1. Find the factors of the first number 26.
    1, 2, 13, 26
  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,
    26

GCF (Greatest Common Factor) of 26 and 52 is 26.

GCD (Greatest Common Divisor) of 26 and 52 is 26.

HCF (Highest Common Factor) of 26 and 52 is 26.

Number GCF LCM
26 & 47 1 1222
26 & 48 2 624
26 & 49 1 1274
26 & 50 2 650
26 & 51 1 1326
26 & 52 26 52
26 & 53 1 1378
26 & 54 2 702
26 & 55 1 1430
26 & 56 2 728
26 & 57 1 1482