GCF of 98 and 442

What is the GCF of 98 and 442?


GCF of 98 and 442

is 2

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What is the Greatest Common Factor of 98 and 442? 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 442 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 442.
    2, 13, 17
  3. Multiply of all the common prime factors is the GCF value. Which is,
    2

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 442.
    1, 2, 13, 17, 26, 34, 221, 442
  3. The biggest common factor number is the GCF value. Which is,
    2

Number GCF LCM
98 & 437 1 42826
98 & 438 2 21462
98 & 439 1 43022
98 & 440 2 21560
98 & 441 49 882
98 & 442 2 21658
98 & 443 1 43414
98 & 444 2 21756
98 & 445 1 43610
98 & 446 2 21854
98 & 447 1 43806

GCF (Greatest Common Factor) of 98 and 442 is 2.

GCD (Greatest Common Divisor) of 98 and 442 is 2.

HCF (Highest Common Factor) of 98 and 442 is 2.