GCF of 1008 and 1121

What is the GCF of 1008 and 1121?


GCF of 1008 and 1121

is 1

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What is the Greatest Common Factor of 1008 and 1121? 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 1008 and 1121 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1008.
    2, 2, 2, 2, 3, 3, 7
  2. Find the prime factors of the second number 1121.
    19, 59
  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 1008.
    1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
  2. Find the factors of the second number 1121.
    1, 19, 59, 1121
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1008 and 1121 is 1.

GCD (Greatest Common Divisor) of 1008 and 1121 is 1.

HCF (Highest Common Factor) of 1008 and 1121 is 1.

Number GCF LCM
1008 & 1116 36 31248
1008 & 1117 1 1125936
1008 & 1118 2 563472
1008 & 1119 3 375984
1008 & 1120 112 10080
1008 & 1121 1 1129968
1008 & 1122 6 188496
1008 & 1123 1 1131984
1008 & 1124 4 283248
1008 & 1125 9 126000
1008 & 1126 2 567504