GCF of 998 and 152

What is the GCF of 998 and 152?

GCF of 998 and 152

is 2

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Greatest Common Factor

What is the Greatest Common Factor of 998 and 152? 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 998 and 152 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 998.
    2, 499
  2. Find the prime factors of the second number 152.
    2, 2, 2, 19
  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 998.
    1, 2, 499, 998
  2. Find the factors of the second number 152.
    1, 2, 4, 8, 19, 38, 76, 152
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 998 and 152 is 2.

GCD (Greatest Common Divisor) of 998 and 152 is 2.

HCF (Highest Common Factor) of 998 and 152 is 2.

Number GCF LCM
998 & 147 1 146706
998 & 148 2 73852
998 & 149 1 148702
998 & 150 2 74850
998 & 151 1 150698
998 & 152 2 75848
998 & 153 1 152694
998 & 154 2 76846
998 & 155 1 154690
998 & 156 2 77844
998 & 157 1 156686
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