GCF of 1008 and 9995

What is the GCF of 1008 and 9995?


GCF of 1008 and 9995

is 1

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What is the Greatest Common Factor of 1008 and 9995? 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 1008 and 9995 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1008.
    2, 2, 2, 2, 3, 3, 7
  2. Find the prime factors of the second number 9995.
    5, 1999
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 1008.
    1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
  2. Find the factors of the second number 9995.
    1, 5, 1999, 9995
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1008 and 9995 is 1.

GCD (Greatest Common Divisor) of 1008 and 9995 is 1.

HCF (Highest Common Factor) of 1008 and 9995 is 1.

Number GCF LCM
1008 & 9990 18 559440
1008 & 9991 1 10070928
1008 & 9992 8 1258992
1008 & 9993 3 3357648
1008 & 9994 2 5036976
1008 & 9995 1 10074960
1008 & 9996 84 119952
1008 & 9997 1 10076976
1008 & 9998 2 5038992
1008 & 9999 9 1119888
1008 & 10000 16 630000