GCF of 1002 and 188

What is the GCF of 1002 and 188?


GCF of 1002 and 188

is 2

Formula How to

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What is the Greatest Common Factor of 1002 and 188? 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 1002 and 188 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1002.
    2, 3, 167
  2. Find the prime factors of the second number 188.
    2, 2, 47
  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 1002.
    1, 2, 3, 6, 167, 334, 501, 1002
  2. Find the factors of the second number 188.
    1, 2, 4, 47, 94, 188
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 1002 and 188 is 2.

GCD (Greatest Common Divisor) of 1002 and 188 is 2.

HCF (Highest Common Factor) of 1002 and 188 is 2.

Number GCF LCM
1002 & 183 3 61122
1002 & 184 2 92184
1002 & 185 1 185370
1002 & 186 6 31062
1002 & 187 1 187374
1002 & 188 2 94188
1002 & 189 3 63126
1002 & 190 2 95190
1002 & 191 1 191382
1002 & 192 6 32064
1002 & 193 1 193386