What is the Greatest Common Factor of 37217 and 37232?

Greatest common factor (GCF) of 37217 and 37232 is 1.

GCF(37217,37232) = 1

We will now calculate the prime factors of 37217 and 37232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37217 and 37232.

How to find the GCF of 37217 and 37232?

We will first find the prime factorization of 37217 and 37232. After we will calculate the factors of 37217 and 37232 and find the biggest common factor number .

Step-1: Prime Factorization of 37217

Prime factors of 37217 are 37217. Prime factorization of 37217 in exponential form is:

37217 = 37217¹

Step-2: Prime Factorization of 37232

Prime factors of 37232 are 2, 13, 179. Prime factorization of 37232 in exponential form is:

37232 = 2⁴ × 13¹ × 179¹

Step-3: Factors of 37217

List of positive integer factors of 37217 that divides 37217 without a remainder.

Step-4: Factors of 37232

List of positive integer factors of 37232 that divides 37217 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 179, 208, 358, 716, 1432, 2327, 2864, 4654, 9308, 18616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37217 and 37232. The biggest common factor number is the GCF number.
So the greatest common factor 37217 and 37232 is 1.

Also check out the Least Common Multiple of 37217 and 37232