What is the Greatest Common Factor of 37209 and 37216?

Greatest common factor (GCF) of 37209 and 37216 is 1.

GCF(37209,37216) = 1

We will now calculate the prime factors of 37209 and 37216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37209 and 37216.

How to find the GCF of 37209 and 37216?

We will first find the prime factorization of 37209 and 37216. After we will calculate the factors of 37209 and 37216 and find the biggest common factor number .

Step-1: Prime Factorization of 37209

Prime factors of 37209 are 3, 79, 157. Prime factorization of 37209 in exponential form is:

37209 = 3¹ × 79¹ × 157¹

Step-2: Prime Factorization of 37216

Prime factors of 37216 are 2, 1163. Prime factorization of 37216 in exponential form is:

37216 = 2⁵ × 1163¹

Step-3: Factors of 37209

List of positive integer factors of 37209 that divides 37209 without a remainder.

1, 3, 79, 157, 237, 471, 12403

Step-4: Factors of 37216

List of positive integer factors of 37216 that divides 37209 without a remainder.

1, 2, 4, 8, 16, 32, 1163, 2326, 4652, 9304, 18608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37209 and 37216. The biggest common factor number is the GCF number.
So the greatest common factor 37209 and 37216 is 1.

Also check out the Least Common Multiple of 37209 and 37216