What is the Greatest Common Factor of 36480 and 36496?

Greatest common factor (GCF) of 36480 and 36496 is 16.

GCF(36480,36496) = 16

We will now calculate the prime factors of 36480 and 36496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36480 and 36496.

How to find the GCF of 36480 and 36496?

We will first find the prime factorization of 36480 and 36496. After we will calculate the factors of 36480 and 36496 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36496

Prime factors of 36496 are 2, 2281. Prime factorization of 36496 in exponential form is:

36496 = 2⁴ × 2281¹

Step-3: Factors of 36480

List of positive integer factors of 36480 that divides 36480 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

Step-4: Factors of 36496

List of positive integer factors of 36496 that divides 36480 without a remainder.

1, 2, 4, 8, 16, 2281, 4562, 9124, 18248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36480 and 36496. The biggest common factor number is the GCF number.
So the greatest common factor 36480 and 36496 is 16.

Also check out the Least Common Multiple of 36480 and 36496