What is the Greatest Common Factor of 37216 and 37229?

Greatest common factor (GCF) of 37216 and 37229 is 1.

GCF(37216,37229) = 1

We will now calculate the prime factors of 37216 and 37229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37216 and 37229.

How to find the GCF of 37216 and 37229?

We will first find the prime factorization of 37216 and 37229. After we will calculate the factors of 37216 and 37229 and find the biggest common factor number .

Step-1: Prime Factorization of 37216

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

37216 = 2⁵ × 1163¹

Step-2: Prime Factorization of 37229

Prime factors of 37229 are 59, 631. Prime factorization of 37229 in exponential form is:

37229 = 59¹ × 631¹

Step-3: Factors of 37216

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

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

Step-4: Factors of 37229

List of positive integer factors of 37229 that divides 37216 without a remainder.

1, 59, 631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37216 and 37229. The biggest common factor number is the GCF number.
So the greatest common factor 37216 and 37229 is 1.

Also check out the Least Common Multiple of 37216 and 37229