GCF of 1004 and 015

What is the GCF of 1004 and 015?


GCF of 1004 and 015

is 1

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What is the Greatest Common Factor of 1004 and 015? 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 1004 and 015 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1004.
    2, 2, 251
  2. Find the prime factors of the second number 015.
    3, 5
  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 1004.
    1, 2, 4, 251, 502, 1004
  2. Find the factors of the second number 015.
    1, 3, 5, 15
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1004 and 015 is 1.

GCD (Greatest Common Divisor) of 1004 and 015 is 1.

HCF (Highest Common Factor) of 1004 and 015 is 1.

Number GCF LCM
1004 & 10 2 5020
1004 & 11 1 11044
1004 & 12 4 3012
1004 & 13 1 13052
1004 & 14 2 7028
1004 & 15 1 15060
1004 & 16 4 4016
1004 & 17 1 17068
1004 & 18 2 9036
1004 & 19 1 19076
1004 & 20 4 5020