What is the Greatest Common Factor of 36990 and 37008?

Greatest common factor (GCF) of 36990 and 37008 is 18.

GCF(36990,37008) = 18

We will now calculate the prime factors of 36990 and 37008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36990 and 37008.

How to find the GCF of 36990 and 37008?

We will first find the prime factorization of 36990 and 37008. After we will calculate the factors of 36990 and 37008 and find the biggest common factor number .

Step-1: Prime Factorization of 36990

Prime factors of 36990 are 2, 3, 5, 137. Prime factorization of 36990 in exponential form is:

36990 = 2¹ × 3³ × 5¹ × 137¹

Step-2: Prime Factorization of 37008

Prime factors of 37008 are 2, 3, 257. Prime factorization of 37008 in exponential form is:

37008 = 2⁴ × 3² × 257¹

Step-3: Factors of 36990

List of positive integer factors of 36990 that divides 36990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 137, 270, 274, 411, 685, 822, 1233, 1370, 2055, 2466, 3699, 4110, 6165, 7398, 12330, 18495

Step-4: Factors of 37008

List of positive integer factors of 37008 that divides 36990 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 257, 514, 771, 1028, 1542, 2056, 2313, 3084, 4112, 4626, 6168, 9252, 12336, 18504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36990 and 37008. The biggest common factor number is the GCF number.
So the greatest common factor 36990 and 37008 is 18.

Also check out the Least Common Multiple of 36990 and 37008