GCF of 90 and 1636

What is the GCF of 90 and 1636?


GCF of 90 and 1636

is 2

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What is the Greatest Common Factor of 90 and 1636? 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 90 and 1636 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 90.
    2, 3, 3, 5
  2. Find the prime factors of the second number 1636.
    2, 2, 409
  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 90.
    1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  2. Find the factors of the second number 1636.
    1, 2, 4, 409, 818, 1636
  3. The biggest common factor number is the GCF value. Which is,
    2

Number GCF LCM
90 & 1631 1 146790
90 & 1632 6 24480
90 & 1633 1 146970
90 & 1634 2 73530
90 & 1635 15 9810
90 & 1636 2 73620
90 & 1637 1 147330
90 & 1638 18 8190
90 & 1639 1 147510
90 & 1640 10 14760
90 & 1641 3 49230

GCF (Greatest Common Factor) of 90 and 1636 is 2.

GCD (Greatest Common Divisor) of 90 and 1636 is 2.

HCF (Highest Common Factor) of 90 and 1636 is 2.