What is the Greatest Common Factor of 37164 and 37168?

Greatest common factor (GCF) of 37164 and 37168 is 4.

GCF(37164,37168) = 4

We will now calculate the prime factors of 37164 and 37168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37164 and 37168.

How to find the GCF of 37164 and 37168?

We will first find the prime factorization of 37164 and 37168. After we will calculate the factors of 37164 and 37168 and find the biggest common factor number .

Step-1: Prime Factorization of 37164

Prime factors of 37164 are 2, 3, 19, 163. Prime factorization of 37164 in exponential form is:

37164 = 2² × 3¹ × 19¹ × 163¹

Step-2: Prime Factorization of 37168

Prime factors of 37168 are 2, 23, 101. Prime factorization of 37168 in exponential form is:

37168 = 2⁴ × 23¹ × 101¹

Step-3: Factors of 37164

List of positive integer factors of 37164 that divides 37164 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 163, 228, 326, 489, 652, 978, 1956, 3097, 6194, 9291, 12388, 18582

Step-4: Factors of 37168

List of positive integer factors of 37168 that divides 37164 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 101, 184, 202, 368, 404, 808, 1616, 2323, 4646, 9292, 18584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37164 and 37168. The biggest common factor number is the GCF number.
So the greatest common factor 37164 and 37168 is 4.

Also check out the Least Common Multiple of 37164 and 37168