GCF of 670 and 1008

What is the GCF of 670 and 1008?

GCF of 670 and 1008

is 2

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Greatest Common Factor

What is the Greatest Common Factor of 670 and 1008? 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 670 and 1008 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 670.
    2, 5, 67
  2. Find the prime factors of the second number 1008.
    2, 2, 2, 2, 3, 3, 7
  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 670.
    1, 2, 5, 10, 67, 134, 335, 670
  2. Find the factors of the second 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
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 670 and 1008 is 2.

GCD (Greatest Common Divisor) of 670 and 1008 is 2.

HCF (Highest Common Factor) of 670 and 1008 is 2.

Number GCF LCM
670 & 1003 1 672010
670 & 1004 2 336340
670 & 1005 335 2010
670 & 1006 2 337010
670 & 1007 1 674690
670 & 1008 2 337680
670 & 1009 1 676030
670 & 1010 10 67670
670 & 1011 1 677370
670 & 1012 2 339020
670 & 1013 1 678710
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