GCF of 1005 and 120

What is the GCF of 1005 and 120?


GCF of 1005 and 120

is 15

Formula How to

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What is the Greatest Common Factor of 1005 and 120? 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 1005 and 120 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1005.
    3, 5, 67
  2. Find the prime factors of the second number 120.
    2, 2, 2, 3, 5
  3. Multiply of all the common prime factors is the GCF value. Which is,
    15

Factors Method:

  1. Find the factors of the first number 1005.
    1, 3, 5, 15, 67, 201, 335, 1005
  2. Find the factors of the second number 120.
    1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
  3. The biggest common factor number is the GCF value. Which is,
    15

GCF (Greatest Common Factor) of 1005 and 120 is 15.

GCD (Greatest Common Divisor) of 1005 and 120 is 15.

HCF (Highest Common Factor) of 1005 and 120 is 15.

Number GCF LCM
1005 & 115 5 23115
1005 & 116 1 116580
1005 & 117 3 39195
1005 & 118 1 118590
1005 & 119 1 119595
1005 & 120 15 8040
1005 & 121 1 121605
1005 & 122 1 122610
1005 & 123 3 41205
1005 & 124 1 124620
1005 & 125 5 25125