What is the Greatest Common Factor of 37184 and 37188?

Greatest common factor (GCF) of 37184 and 37188 is 4.

GCF(37184,37188) = 4

We will now calculate the prime factors of 37184 and 37188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37184 and 37188.

How to find the GCF of 37184 and 37188?

We will first find the prime factorization of 37184 and 37188. After we will calculate the factors of 37184 and 37188 and find the biggest common factor number .

Step-1: Prime Factorization of 37184

Prime factors of 37184 are 2, 7, 83. Prime factorization of 37184 in exponential form is:

37184 = 2⁶ × 7¹ × 83¹

Step-2: Prime Factorization of 37188

Prime factors of 37188 are 2, 3, 1033. Prime factorization of 37188 in exponential form is:

37188 = 2² × 3² × 1033¹

Step-3: Factors of 37184

List of positive integer factors of 37184 that divides 37184 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 83, 112, 166, 224, 332, 448, 581, 664, 1162, 1328, 2324, 2656, 4648, 5312, 9296, 18592

Step-4: Factors of 37188

List of positive integer factors of 37188 that divides 37184 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1033, 2066, 3099, 4132, 6198, 9297, 12396, 18594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37184 and 37188. The biggest common factor number is the GCF number.
So the greatest common factor 37184 and 37188 is 4.

Also check out the Least Common Multiple of 37184 and 37188