GCF of 343 and 98

What is the GCF of 343 and 98?


GCF of 343 and 98

is 49

Formula How to

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What is the Greatest Common Factor of 343 and 98? 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 343 and 98 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 343.
    7, 7, 7
  2. Find the prime factors of the second number 98.
    2, 7, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    49

Factors Method:

  1. Find the factors of the first number 343.
    1, 7, 49, 343
  2. Find the factors of the second number 98.
    1, 2, 7, 14, 49, 98
  3. The biggest common factor number is the GCF value. Which is,
    49

GCF (Greatest Common Factor) of 343 and 98 is 49.

GCD (Greatest Common Divisor) of 343 and 98 is 49.

HCF (Highest Common Factor) of 343 and 98 is 49.

Number GCF LCM
343 & 93 1 31899
343 & 94 1 32242
343 & 95 1 32585
343 & 96 1 32928
343 & 97 1 33271
343 & 98 49 686
343 & 99 1 33957
343 & 100 1 34300
343 & 101 1 34643
343 & 102 1 34986
343 & 103 1 35329