What is the Greatest Common Factor of 36416 and 36430?

Greatest common factor (GCF) of 36416 and 36430 is 2.

GCF(36416,36430) = 2

We will now calculate the prime factors of 36416 and 36430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36416 and 36430.

How to find the GCF of 36416 and 36430?

We will first find the prime factorization of 36416 and 36430. After we will calculate the factors of 36416 and 36430 and find the biggest common factor number .

Step-1: Prime Factorization of 36416

Prime factors of 36416 are 2, 569. Prime factorization of 36416 in exponential form is:

36416 = 2⁶ × 569¹

Step-2: 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-3: Factors of 36416

List of positive integer factors of 36416 that divides 36416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 569, 1138, 2276, 4552, 9104, 18208

Step-4: Factors of 36430

List of positive integer factors of 36430 that divides 36416 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36416 and 36430. The biggest common factor number is the GCF number.
So the greatest common factor 36416 and 36430 is 2.

Also check out the Least Common Multiple of 36416 and 36430