GCF of 990 and 290

What is the GCF of 990 and 290?


GCF of 990 and 290

is 10

Formula How to

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What is the Greatest Common Factor of 990 and 290? 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 290 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 290.
    2, 5, 29
  3. Multiply of all the common prime factors is the GCF value. Which is,
    10

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 290.
    1, 2, 5, 10, 29, 58, 145, 290
  3. The biggest common factor number is the GCF value. Which is,
    10

GCF (Greatest Common Factor) of 990 and 290 is 10.

GCD (Greatest Common Divisor) of 990 and 290 is 10.

HCF (Highest Common Factor) of 990 and 290 is 10.

Number GCF LCM
990 & 285 15 18810
990 & 286 22 12870
990 & 287 1 284130
990 & 288 18 15840
990 & 289 1 286110
990 & 290 10 28710
990 & 291 3 96030
990 & 292 2 144540
990 & 293 1 290070
990 & 294 6 48510
990 & 295 5 58410