GCF of 38 and 76

What is the GCF of 38 and 76?

GCF of 38 and 76

is 38

Formula How to
Share This Calculation:
Reference This Calculation:
Greatest Common Factor

What is the Greatest Common Factor of 38 and 76? 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 38 and 76 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 38.
    2, 19
  2. Find the prime factors of the second number 76.
    2, 2, 19
  3. Multiply of all the common prime factors is the GCF value. Which is,
    38

Factors Method:

  1. Find the factors of the first number 38.
    1, 2, 19, 38
  2. Find the factors of the second number 76.
    1, 2, 4, 19, 38, 76
  3. The biggest common factor number is the GCF value. Which is,
    38

GCF (Greatest Common Factor) of 38 and 76 is 38.

GCD (Greatest Common Divisor) of 38 and 76 is 38.

HCF (Highest Common Factor) of 38 and 76 is 38.

Number GCF LCM
38 & 71 1 2698
38 & 72 2 1368
38 & 73 1 2774
38 & 74 2 1406
38 & 75 1 2850
38 & 76 38 76
38 & 77 1 2926
38 & 78 2 1482
38 & 79 1 3002
38 & 80 2 1520
38 & 81 1 3078
Calculations