GCF of 10 and 336

What is the GCF of 10 and 336?

GCF of 10 and 336

is 2

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Greatest Common Factor

What is the Greatest Common Factor of 10 and 336? 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 10 and 336 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 10.
    2, 5
  2. Find the prime factors of the second number 336.
    2, 2, 2, 2, 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 10.
    1, 2, 5, 10
  2. Find the factors of the second number 336.
    1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 10 and 336 is 2.

GCD (Greatest Common Divisor) of 10 and 336 is 2.

HCF (Highest Common Factor) of 10 and 336 is 2.

Number GCF LCM
10 & 331 1 3310
10 & 332 2 1660
10 & 333 1 3330
10 & 334 2 1670
10 & 335 5 670
10 & 336 2 1680
10 & 337 1 3370
10 & 338 2 1690
10 & 339 1 3390
10 & 340 10 340
10 & 341 1 3410
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