What is the Greatest Common Factor of 36430 and 36448?

Greatest common factor (GCF) of 36430 and 36448 is 2.

GCF(36430,36448) = 2

We will now calculate the prime factors of 36430 and 36448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36430 and 36448.

How to find the GCF of 36430 and 36448?

We will first find the prime factorization of 36430 and 36448. After we will calculate the factors of 36430 and 36448 and find the biggest common factor number .

Step-1: Prime Factorization of 36430

Prime factors of 36430 are 2, 5, 3643. Prime factorization of 36430 in exponential form is:

36430 = 2¹ × 5¹ × 3643¹

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 36430

List of positive integer factors of 36430 that divides 36430 without a remainder.

1, 2, 5, 10, 3643, 7286, 18215

Step-4: Factors of 36448

List of positive integer factors of 36448 that divides 36430 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 36430 and 36448. The biggest common factor number is the GCF number.
So the greatest common factor 36430 and 36448 is 2.

Also check out the Least Common Multiple of 36430 and 36448