What is the Greatest Common Factor of 36064 and 36080?

Greatest common factor (GCF) of 36064 and 36080 is 16.

GCF(36064,36080) = 16

We will now calculate the prime factors of 36064 and 36080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36064 and 36080.

How to find the GCF of 36064 and 36080?

We will first find the prime factorization of 36064 and 36080. After we will calculate the factors of 36064 and 36080 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36080

Prime factors of 36080 are 2, 5, 11, 41. Prime factorization of 36080 in exponential form is:

36080 = 2⁴ × 5¹ × 11¹ × 41¹

Step-3: Factors of 36064

List of positive integer factors of 36064 that divides 36064 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

Step-4: Factors of 36080

List of positive integer factors of 36080 that divides 36064 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 41, 44, 55, 80, 82, 88, 110, 164, 176, 205, 220, 328, 410, 440, 451, 656, 820, 880, 902, 1640, 1804, 2255, 3280, 3608, 4510, 7216, 9020, 18040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36064 and 36080. The biggest common factor number is the GCF number.
So the greatest common factor 36064 and 36080 is 16.

Also check out the Least Common Multiple of 36064 and 36080