What is the Greatest Common Factor of 37152 and 37170?

Greatest common factor (GCF) of 37152 and 37170 is 18.

GCF(37152,37170) = 18

We will now calculate the prime factors of 37152 and 37170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37152 and 37170.

How to find the GCF of 37152 and 37170?

We will first find the prime factorization of 37152 and 37170. After we will calculate the factors of 37152 and 37170 and find the biggest common factor number .

Step-1: Prime Factorization of 37152

Prime factors of 37152 are 2, 3, 43. Prime factorization of 37152 in exponential form is:

37152 = 2⁵ × 3³ × 43¹

Step-2: Prime Factorization of 37170

Prime factors of 37170 are 2, 3, 5, 7, 59. Prime factorization of 37170 in exponential form is:

37170 = 2¹ × 3² × 5¹ × 7¹ × 59¹

Step-3: Factors of 37152

List of positive integer factors of 37152 that divides 37152 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 43, 48, 54, 72, 86, 96, 108, 129, 144, 172, 216, 258, 288, 344, 387, 432, 516, 688, 774, 864, 1032, 1161, 1376, 1548, 2064, 2322, 3096, 4128, 4644, 6192, 9288, 12384, 18576

Step-4: Factors of 37170

List of positive integer factors of 37170 that divides 37152 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 59, 63, 70, 90, 105, 118, 126, 177, 210, 295, 315, 354, 413, 531, 590, 630, 826, 885, 1062, 1239, 1770, 2065, 2478, 2655, 3717, 4130, 5310, 6195, 7434, 12390, 18585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37152 and 37170. The biggest common factor number is the GCF number.
So the greatest common factor 37152 and 37170 is 18.

Also check out the Least Common Multiple of 37152 and 37170