What is the Greatest Common Factor of 36431 and 36448?

Greatest common factor (GCF) of 36431 and 36448 is 17.

GCF(36431,36448) = 17

We will now calculate the prime factors of 36431 and 36448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36431 and 36448.

How to find the GCF of 36431 and 36448?

We will first find the prime factorization of 36431 and 36448. After we will calculate the factors of 36431 and 36448 and find the biggest common factor number .

Step-1: Prime Factorization of 36431

Prime factors of 36431 are 17, 2143. Prime factorization of 36431 in exponential form is:

36431 = 17¹ × 2143¹

Step-2: 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-3: Factors of 36431

List of positive integer factors of 36431 that divides 36431 without a remainder.

1, 17, 2143

Step-4: Factors of 36448

List of positive integer factors of 36448 that divides 36431 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36431 and 36448. The biggest common factor number is the GCF number.
So the greatest common factor 36431 and 36448 is 17.

Also check out the Least Common Multiple of 36431 and 36448