GCF of 1620 and 996

What is the GCF of 1620 and 996?

GCF of 1620 and 996

is 12

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Greatest Common Factor

What is the Greatest Common Factor of 1620 and 996? 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 1620 and 996 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1620.
    2, 2, 3, 3, 3, 3, 5
  2. Find the prime factors of the second number 996.
    2, 2, 3, 83
  3. Multiply of all the common prime factors is the GCF value. Which is,
    12

Factors Method:

  1. Find the factors of the first number 1620.
    1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620
  2. Find the factors of the second number 996.
    1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
  3. The biggest common factor number is the GCF value. Which is,
    12

GCF (Greatest Common Factor) of 1620 and 996 is 12.

GCD (Greatest Common Divisor) of 1620 and 996 is 12.

HCF (Highest Common Factor) of 1620 and 996 is 12.

Number GCF LCM
1620 & 991 1 1605420
1620 & 992 4 401760
1620 & 993 3 536220
1620 & 994 2 805140
1620 & 995 5 322380
1620 & 996 12 134460
1620 & 997 1 1615140
1620 & 998 2 808380
1620 & 999 27 59940
1620 & 1000 20 81000
1620 & 1001 1 1621620
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