GCF of 816 and 986

What is the GCF of 816 and 986?


GCF of 816 and 986

is 34

Formula How to

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What is the Greatest Common Factor of 816 and 986? 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 816 and 986 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 816.
    2, 2, 2, 2, 3, 17
  2. Find the prime factors of the second number 986.
    2, 17, 29
  3. Multiply of all the common prime factors is the GCF value. Which is,
    34

Factors Method:

  1. Find the factors of the first number 816.
    1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
  2. Find the factors of the second number 986.
    1, 2, 17, 29, 34, 58, 493, 986
  3. The biggest common factor number is the GCF value. Which is,
    34

GCF (Greatest Common Factor) of 816 and 986 is 34.

GCD (Greatest Common Divisor) of 816 and 986 is 34.

HCF (Highest Common Factor) of 816 and 986 is 34.

Number GCF LCM
816 & 981 3 266832
816 & 982 2 400656
816 & 983 1 802128
816 & 984 24 33456
816 & 985 1 803760
816 & 986 34 23664
816 & 987 3 268464
816 & 988 4 201552
816 & 989 1 807024
816 & 990 6 134640
816 & 991 1 808656