GCF of 98 and 350

What is the GCF of 98 and 350?


GCF of 98 and 350

is 14

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 98 and 350? 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 350 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 350.
    2, 5, 5, 7
  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 350.
    1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
  3. The biggest common factor number is the GCF value. Which is,
    14

GCF (Greatest Common Factor) of 98 and 350 is 14.

GCD (Greatest Common Divisor) of 98 and 350 is 14.

HCF (Highest Common Factor) of 98 and 350 is 14.

Number GCF LCM
98 & 345 1 33810
98 & 346 2 16954
98 & 347 1 34006
98 & 348 2 17052
98 & 349 1 34202
98 & 350 14 2450
98 & 351 1 34398
98 & 352 2 17248
98 & 353 1 34594
98 & 354 2 17346
98 & 355 1 34790