What is the Greatest Common Factor of 36448 and 36456?

Greatest common factor (GCF) of 36448 and 36456 is 8.

GCF(36448,36456) = 8

We will now calculate the prime factors of 36448 and 36456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36448 and 36456.

How to find the GCF of 36448 and 36456?

We will first find the prime factorization of 36448 and 36456. After we will calculate the factors of 36448 and 36456 and find the biggest common factor number .

Step-1: Prime Factorization of 36448

Prime factors of 36448 are 2, 17, 67. Prime factorization of 36448 in exponential form is:

36448 = 2⁵ × 17¹ × 67¹

Step-2: Prime Factorization of 36456

Prime factors of 36456 are 2, 3, 7, 31. Prime factorization of 36456 in exponential form is:

36456 = 2³ × 3¹ × 7² × 31¹

Step-3: Factors of 36448

List of positive integer factors of 36448 that divides 36448 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 67, 68, 134, 136, 268, 272, 536, 544, 1072, 1139, 2144, 2278, 4556, 9112, 18224

Step-4: Factors of 36456

List of positive integer factors of 36456 that divides 36448 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 49, 56, 62, 84, 93, 98, 124, 147, 168, 186, 196, 217, 248, 294, 372, 392, 434, 588, 651, 744, 868, 1176, 1302, 1519, 1736, 2604, 3038, 4557, 5208, 6076, 9114, 12152, 18228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36448 and 36456. The biggest common factor number is the GCF number.
So the greatest common factor 36448 and 36456 is 8.

Also check out the Least Common Multiple of 36448 and 36456