GCF of 990 and 575

What is the GCF of 990 and 575?


GCF of 990 and 575

is 5

Formula How to

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What is the Greatest Common Factor of 990 and 575? 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 575 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 575.
    5, 5, 23
  3. Multiply of all the common prime factors is the GCF value. Which is,
    5

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 575.
    1, 5, 23, 25, 115, 575
  3. The biggest common factor number is the GCF value. Which is,
    5

Number GCF LCM
990 & 570 30 18810
990 & 571 1 565290
990 & 572 22 25740
990 & 573 3 189090
990 & 574 2 284130
990 & 575 5 113850
990 & 576 18 31680
990 & 577 1 571230
990 & 578 2 286110
990 & 579 3 191070
990 & 580 10 57420

GCF (Greatest Common Factor) of 990 and 575 is 5.

GCD (Greatest Common Divisor) of 990 and 575 is 5.

HCF (Highest Common Factor) of 990 and 575 is 5.