What is the Greatest Common Factor of 36044 and 36064?

Greatest common factor (GCF) of 36044 and 36064 is 4.

GCF(36044,36064) = 4

We will now calculate the prime factors of 36044 and 36064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36044 and 36064.

How to find the GCF of 36044 and 36064?

We will first find the prime factorization of 36044 and 36064. After we will calculate the factors of 36044 and 36064 and find the biggest common factor number .

Step-1: Prime Factorization of 36044

Prime factors of 36044 are 2, 9011. Prime factorization of 36044 in exponential form is:

36044 = 2² × 9011¹

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 36044

List of positive integer factors of 36044 that divides 36044 without a remainder.

1, 2, 4, 9011, 18022

Step-4: Factors of 36064

List of positive integer factors of 36064 that divides 36044 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 36044 and 36064. The biggest common factor number is the GCF number.
So the greatest common factor 36044 and 36064 is 4.

Also check out the Least Common Multiple of 36044 and 36064