GCF of 98 and 924

What is the GCF of 98 and 924?


GCF of 98 and 924

is 14

Formula How to

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What is the Greatest Common Factor of 98 and 924? 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 924 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 924.
    2, 2, 3, 7, 11
  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 924.
    1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
  3. The biggest common factor number is the GCF value. Which is,
    14

GCF (Greatest Common Factor) of 98 and 924 is 14.

GCD (Greatest Common Divisor) of 98 and 924 is 14.

HCF (Highest Common Factor) of 98 and 924 is 14.

Number GCF LCM
98 & 919 1 90062
98 & 920 2 45080
98 & 921 1 90258
98 & 922 2 45178
98 & 923 1 90454
98 & 924 14 6468
98 & 925 1 90650
98 & 926 2 45374
98 & 927 1 90846
98 & 928 2 45472
98 & 929 1 91042