What is the Greatest Common Factor of 37152 and 37171?

Greatest common factor (GCF) of 37152 and 37171 is 1.

GCF(37152,37171) = 1

We will now calculate the prime factors of 37152 and 37171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37152 and 37171.

How to find the GCF of 37152 and 37171?

We will first find the prime factorization of 37152 and 37171. After we will calculate the factors of 37152 and 37171 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 37171

Prime factors of 37171 are 37171. Prime factorization of 37171 in exponential form is:

37171 = 37171¹

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 37171

List of positive integer factors of 37171 that divides 37152 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37152 and 37171. The biggest common factor number is the GCF number.
So the greatest common factor 37152 and 37171 is 1.

Also check out the Least Common Multiple of 37152 and 37171