GCF of 102 and 345

What is the GCF of 102 and 345?


GCF of 102 and 345

is 3

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What is the Greatest Common Factor of 102 and 345? 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 102 and 345 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 102.
    2, 3, 17
  2. Find the prime factors of the second number 345.
    3, 5, 23
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

Factors Method:

  1. Find the factors of the first number 102.
    1, 2, 3, 6, 17, 34, 51, 102
  2. Find the factors of the second number 345.
    1, 3, 5, 15, 23, 69, 115, 345
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 102 and 345 is 3.

GCD (Greatest Common Divisor) of 102 and 345 is 3.

HCF (Highest Common Factor) of 102 and 345 is 3.

Number GCF LCM
102 & 340 34 1020
102 & 341 1 34782
102 & 342 6 5814
102 & 343 1 34986
102 & 344 2 17544
102 & 345 3 11730
102 & 346 2 17646
102 & 347 1 35394
102 & 348 6 5916
102 & 349 1 35598
102 & 350 2 17850