What is the Greatest Common Factor of 36464 and 36480?

Greatest common factor (GCF) of 36464 and 36480 is 16.

GCF(36464,36480) = 16

We will now calculate the prime factors of 36464 and 36480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36464 and 36480.

How to find the GCF of 36464 and 36480?

We will first find the prime factorization of 36464 and 36480. After we will calculate the factors of 36464 and 36480 and find the biggest common factor number .

Step-1: Prime Factorization of 36464

Prime factors of 36464 are 2, 43, 53. Prime factorization of 36464 in exponential form is:

36464 = 2⁴ × 43¹ × 53¹

Step-2: Prime Factorization of 36480

Prime factors of 36480 are 2, 3, 5, 19. Prime factorization of 36480 in exponential form is:

36480 = 2⁷ × 3¹ × 5¹ × 19¹

Step-3: Factors of 36464

List of positive integer factors of 36464 that divides 36464 without a remainder.

1, 2, 4, 8, 16, 43, 53, 86, 106, 172, 212, 344, 424, 688, 848, 2279, 4558, 9116, 18232

Step-4: Factors of 36480

List of positive integer factors of 36480 that divides 36464 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 64, 76, 80, 95, 96, 114, 120, 128, 152, 160, 190, 192, 228, 240, 285, 304, 320, 380, 384, 456, 480, 570, 608, 640, 760, 912, 960, 1140, 1216, 1520, 1824, 1920, 2280, 2432, 3040, 3648, 4560, 6080, 7296, 9120, 12160, 18240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36464 and 36480. The biggest common factor number is the GCF number.
So the greatest common factor 36464 and 36480 is 16.

Also check out the Least Common Multiple of 36464 and 36480