GCF of 990 and 3118

What is the GCF of 990 and 3118?


GCF of 990 and 3118

is 2

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What is the Greatest Common Factor of 990 and 3118? 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 990 and 3118 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 990.
    2, 3, 3, 5, 11
  2. Find the prime factors of the second number 3118.
    2, 1559
  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 990.
    1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
  2. Find the factors of the second number 3118.
    1, 2, 1559, 3118
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 990 and 3118 is 2.

GCD (Greatest Common Divisor) of 990 and 3118 is 2.

HCF (Highest Common Factor) of 990 and 3118 is 2.

Number GCF LCM
990 & 3113 11 280170
990 & 3114 18 171270
990 & 3115 5 616770
990 & 3116 2 1542420
990 & 3117 3 1028610
990 & 3118 2 1543410
990 & 3119 1 3087810
990 & 3120 30 102960
990 & 3121 1 3089790
990 & 3122 2 1545390
990 & 3123 9 343530