GCF of 124 and 1000

What is the GCF of 124 and 1000?

GCF of 124 and 1000

is 4

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Greatest Common Factor

What is the Greatest Common Factor of 124 and 1000? 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 124 and 1000 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 124.
    2, 2, 31
  2. Find the prime factors of the second number 1000.
    2, 2, 2, 5, 5, 5
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

Factors Method:

  1. Find the factors of the first number 124.
    1, 2, 4, 31, 62, 124
  2. Find the factors of the second number 1000.
    1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
  3. The biggest common factor number is the GCF value. Which is,
    4

GCF (Greatest Common Factor) of 124 and 1000 is 4.

GCD (Greatest Common Divisor) of 124 and 1000 is 4.

HCF (Highest Common Factor) of 124 and 1000 is 4.

Number GCF LCM
124 & 995 1 123380
124 & 996 4 30876
124 & 997 1 123628
124 & 998 2 61876
124 & 999 1 123876
124 & 1000 4 31000
124 & 1001 1 124124
124 & 1002 2 62124
124 & 1003 1 124372
124 & 1004 4 31124
124 & 1005 1 124620
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