What is the Greatest Common Factor of 36048 and 36064?

Greatest common factor (GCF) of 36048 and 36064 is 16.

GCF(36048,36064) = 16

We will now calculate the prime factors of 36048 and 36064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36048 and 36064.

How to find the GCF of 36048 and 36064?

We will first find the prime factorization of 36048 and 36064. After we will calculate the factors of 36048 and 36064 and find the biggest common factor number .

Step-1: Prime Factorization of 36048

Prime factors of 36048 are 2, 3, 751. Prime factorization of 36048 in exponential form is:

36048 = 2⁴ × 3¹ × 751¹

Step-2: Prime Factorization of 36064

Prime factors of 36064 are 2, 7, 23. Prime factorization of 36064 in exponential form is:

36064 = 2⁵ × 7² × 23¹

Step-3: Factors of 36048

List of positive integer factors of 36048 that divides 36048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 751, 1502, 2253, 3004, 4506, 6008, 9012, 12016, 18024

Step-4: Factors of 36064

List of positive integer factors of 36064 that divides 36048 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 49, 56, 92, 98, 112, 161, 184, 196, 224, 322, 368, 392, 644, 736, 784, 1127, 1288, 1568, 2254, 2576, 4508, 5152, 9016, 18032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36048 and 36064. The biggest common factor number is the GCF number.
So the greatest common factor 36048 and 36064 is 16.

Also check out the Least Common Multiple of 36048 and 36064