GCF of 1008 and 175

What is the GCF of 1008 and 175?


GCF of 1008 and 175

is 7

Formula How to

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What is the Greatest Common Factor of 1008 and 175? 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 175 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 175.
    5, 5, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    7

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 175.
    1, 5, 7, 25, 35, 175
  3. The biggest common factor number is the GCF value. Which is,
    7

GCF (Greatest Common Factor) of 1008 and 175 is 7.

GCD (Greatest Common Divisor) of 1008 and 175 is 7.

HCF (Highest Common Factor) of 1008 and 175 is 7.

Number GCF LCM
1008 & 170 2 85680
1008 & 171 9 19152
1008 & 172 4 43344
1008 & 173 1 174384
1008 & 174 6 29232
1008 & 175 7 25200
1008 & 176 16 11088
1008 & 177 3 59472
1008 & 178 2 89712
1008 & 179 1 180432
1008 & 180 36 5040