What is the Greatest Common Factor of 36480 and 36490?

Greatest common factor (GCF) of 36480 and 36490 is 10.

GCF(36480,36490) = 10

We will now calculate the prime factors of 36480 and 36490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36480 and 36490.

How to find the GCF of 36480 and 36490?

We will first find the prime factorization of 36480 and 36490. After we will calculate the factors of 36480 and 36490 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 36490

Prime factors of 36490 are 2, 5, 41, 89. Prime factorization of 36490 in exponential form is:

36490 = 2¹ × 5¹ × 41¹ × 89¹

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 36490

List of positive integer factors of 36490 that divides 36480 without a remainder.

1, 2, 5, 10, 41, 82, 89, 178, 205, 410, 445, 890, 3649, 7298, 18245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36480 and 36490. The biggest common factor number is the GCF number.
So the greatest common factor 36480 and 36490 is 10.

Also check out the Least Common Multiple of 36480 and 36490