GCF of 102 and 428

What is the GCF of 102 and 428?

GCF of 102 and 428

is 2

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Greatest Common Factor

What is the Greatest Common Factor of 102 and 428? 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 428 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 428.
    2, 2, 107
  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 102.
    1, 2, 3, 6, 17, 34, 51, 102
  2. Find the factors of the second number 428.
    1, 2, 4, 107, 214, 428
  3. The biggest common factor number is the GCF value. Which is,
    2

Number GCF LCM
102 & 423 3 14382
102 & 424 2 21624
102 & 425 17 2550
102 & 426 6 7242
102 & 427 1 43554
102 & 428 2 21828
102 & 429 3 14586
102 & 430 2 21930
102 & 431 1 43962
102 & 432 6 7344
102 & 433 1 44166

GCF (Greatest Common Factor) of 102 and 428 is 2.

GCD (Greatest Common Divisor) of 102 and 428 is 2.

HCF (Highest Common Factor) of 102 and 428 is 2.
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