GCF of 1008 and 065

What is the GCF of 1008 and 065?


GCF of 1008 and 065

is 1

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What is the Greatest Common Factor of 1008 and 065? 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 065 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 065.
    5, 13
  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 065.
    1, 5, 13, 65
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1008 and 065 is 1.

GCD (Greatest Common Divisor) of 1008 and 065 is 1.

HCF (Highest Common Factor) of 1008 and 065 is 1.

Number GCF LCM
1008 & 60 12 5040
1008 & 61 1 61488
1008 & 62 2 31248
1008 & 63 63 1008
1008 & 64 16 4032
1008 & 65 1 65520
1008 & 66 6 11088
1008 & 67 1 67536
1008 & 68 4 17136
1008 & 69 3 23184
1008 & 70 14 5040