GCF of 98 and 322

What is the GCF of 98 and 322?


GCF of 98 and 322

is 14

Formula How to

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What is the Greatest Common Factor of 98 and 322? 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 322 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 322.
    2, 7, 23
  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 322.
    1, 2, 7, 14, 23, 46, 161, 322
  3. The biggest common factor number is the GCF value. Which is,
    14

GCF (Greatest Common Factor) of 98 and 322 is 14.

GCD (Greatest Common Divisor) of 98 and 322 is 14.

HCF (Highest Common Factor) of 98 and 322 is 14.

Number GCF LCM
98 & 317 1 31066
98 & 318 2 15582
98 & 319 1 31262
98 & 320 2 15680
98 & 321 1 31458
98 & 322 14 2254
98 & 323 1 31654
98 & 324 2 15876
98 & 325 1 31850
98 & 326 2 15974
98 & 327 1 32046