GCF of 104 and 350

What is the GCF of 104 and 350?


GCF of 104 and 350

is 2

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What is the Greatest Common Factor of 104 and 350? 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 104 and 350 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 104.
    2, 2, 2, 13
  2. Find the prime factors of the second number 350.
    2, 5, 5, 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 104.
    1, 2, 4, 8, 13, 26, 52, 104
  2. Find the factors of the second number 350.
    1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
  3. The biggest common factor number is the GCF value. Which is,
    2

GCF (Greatest Common Factor) of 104 and 350 is 2.

GCD (Greatest Common Divisor) of 104 and 350 is 2.

HCF (Highest Common Factor) of 104 and 350 is 2.

Number GCF LCM
104 & 345 1 35880
104 & 346 2 17992
104 & 347 1 36088
104 & 348 4 9048
104 & 349 1 36296
104 & 350 2 18200
104 & 351 13 2808
104 & 352 8 4576
104 & 353 1 36712
104 & 354 2 18408
104 & 355 1 36920