What is the Greatest Common Factor of 36480 and 36488?

Greatest common factor (GCF) of 36480 and 36488 is 8.

GCF(36480,36488) = 8

We will now calculate the prime factors of 36480 and 36488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36480 and 36488.

How to find the GCF of 36480 and 36488?

We will first find the prime factorization of 36480 and 36488. After we will calculate the factors of 36480 and 36488 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 36488

Prime factors of 36488 are 2, 4561. Prime factorization of 36488 in exponential form is:

36488 = 2³ × 4561¹

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 36488

List of positive integer factors of 36488 that divides 36480 without a remainder.

1, 2, 4, 8, 4561, 9122, 18244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36480 and 36488. The biggest common factor number is the GCF number.
So the greatest common factor 36480 and 36488 is 8.

Also check out the Least Common Multiple of 36480 and 36488