What is the Greatest Common Factor of 36480 and 36487?

Greatest common factor (GCF) of 36480 and 36487 is 1.

GCF(36480,36487) = 1

We will now calculate the prime factors of 36480 and 36487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36480 and 36487.

How to find the GCF of 36480 and 36487?

We will first find the prime factorization of 36480 and 36487. After we will calculate the factors of 36480 and 36487 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 36487

Prime factors of 36487 are 11, 31, 107. Prime factorization of 36487 in exponential form is:

36487 = 11¹ × 31¹ × 107¹

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 36487

List of positive integer factors of 36487 that divides 36480 without a remainder.

1, 11, 31, 107, 341, 1177, 3317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36480 and 36487. The biggest common factor number is the GCF number.
So the greatest common factor 36480 and 36487 is 1.

Also check out the Least Common Multiple of 36480 and 36487