GCF of 67 and 24

What is the GCF of 67 and 24?


GCF of 67 and 24

is 1

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What is the Greatest Common Factor of 67 and 24? 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 67 and 24 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 67.
    67
  2. Find the prime factors of the second number 24.
    2, 2, 2, 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 67.
    1, 67
  2. Find the factors of the second number 24.
    1, 2, 3, 4, 6, 8, 12, 24
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 67 and 24 is 1.

GCD (Greatest Common Divisor) of 67 and 24 is 1.

HCF (Highest Common Factor) of 67 and 24 is 1.

Number GCF LCM
67 & 19 1 1273
67 & 20 1 1340
67 & 21 1 1407
67 & 22 1 1474
67 & 23 1 1541
67 & 24 1 1608
67 & 25 1 1675
67 & 26 1 1742
67 & 27 1 1809
67 & 28 1 1876
67 & 29 1 1943