GCF of 1120 and 1000

What is the GCF of 1120 and 1000?

GCF of 1120 and 1000

is 40

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Greatest Common Factor

What is the Greatest Common Factor of 1120 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 1120 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 1120.
    2, 2, 2, 2, 2, 5, 7
  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,
    40

Factors Method:

  1. Find the factors of the first number 1120.
    1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120
  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,
    40

GCF (Greatest Common Factor) of 1120 and 1000 is 40.

GCD (Greatest Common Divisor) of 1120 and 1000 is 40.

HCF (Highest Common Factor) of 1120 and 1000 is 40.

Number GCF LCM
1120 & 995 5 222880
1120 & 996 4 278880
1120 & 997 1 1116640
1120 & 998 2 558880
1120 & 999 1 1118880
1120 & 1000 40 28000
1120 & 1001 7 160160
1120 & 1002 2 561120
1120 & 1003 1 1123360
1120 & 1004 4 281120
1120 & 1005 5 225120
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