GCF of 98 and 868

What is the GCF of 98 and 868?


GCF of 98 and 868

is 14

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What is the Greatest Common Factor of 98 and 868? 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 98 and 868 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 98.
    2, 7, 7
  2. Find the prime factors of the second number 868.
    2, 2, 7, 31
  3. Multiply of all the common prime factors is the GCF value. Which is,
    14

Factors Method:

  1. Find the factors of the first number 98.
    1, 2, 7, 14, 49, 98
  2. Find the factors of the second number 868.
    1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
  3. The biggest common factor number is the GCF value. Which is,
    14

GCF (Greatest Common Factor) of 98 and 868 is 14.

GCD (Greatest Common Divisor) of 98 and 868 is 14.

HCF (Highest Common Factor) of 98 and 868 is 14.

Number GCF LCM
98 & 863 1 84574
98 & 864 2 42336
98 & 865 1 84770
98 & 866 2 42434
98 & 867 1 84966
98 & 868 14 6076
98 & 869 1 85162
98 & 870 2 42630
98 & 871 1 85358
98 & 872 2 42728
98 & 873 1 85554