GCF of 1128 and 992

What is the GCF of 1128 and 992?


GCF of 1128 and 992

is 8

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What is the Greatest Common Factor of 1128 and 992? 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 1128 and 992 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1128.
    2, 2, 2, 3, 47
  2. Find the prime factors of the second number 992.
    2, 2, 2, 2, 2, 31
  3. Multiply of all the common prime factors is the GCF value. Which is,
    8

Factors Method:

  1. Find the factors of the first number 1128.
    1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128
  2. Find the factors of the second number 992.
    1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
  3. The biggest common factor number is the GCF value. Which is,
    8

GCF (Greatest Common Factor) of 1128 and 992 is 8.

GCD (Greatest Common Divisor) of 1128 and 992 is 8.

HCF (Highest Common Factor) of 1128 and 992 is 8.

Number GCF LCM
1128 & 987 141 7896
1128 & 988 4 278616
1128 & 989 1 1115592
1128 & 990 6 186120
1128 & 991 1 1117848
1128 & 992 8 139872
1128 & 993 3 373368
1128 & 994 2 560616
1128 & 995 1 1122360
1128 & 996 12 93624
1128 & 997 1 1124616