GCF of 104 and 252

What is the GCF of 104 and 252?


GCF of 104 and 252

is 4

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What is the Greatest Common Factor of 104 and 252? 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 252 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 252.
    2, 2, 3, 3, 7
  3. Multiply of all the common prime factors is the GCF value. Which is,
    4

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 252.
    1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
  3. The biggest common factor number is the GCF value. Which is,
    4

Number GCF LCM
104 & 247 13 1976
104 & 248 8 3224
104 & 249 1 25896
104 & 250 2 13000
104 & 251 1 26104
104 & 252 4 6552
104 & 253 1 26312
104 & 254 2 13208
104 & 255 1 26520
104 & 256 8 3328
104 & 257 1 26728

GCF (Greatest Common Factor) of 104 and 252 is 4.

GCD (Greatest Common Divisor) of 104 and 252 is 4.

HCF (Highest Common Factor) of 104 and 252 is 4.