What is the Greatest Common Factor of 37315 and 37332?

Greatest common factor (GCF) of 37315 and 37332 is 17.

GCF(37315,37332) = 17

We will now calculate the prime factors of 37315 and 37332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37315 and 37332.

How to find the GCF of 37315 and 37332?

We will first find the prime factorization of 37315 and 37332. After we will calculate the factors of 37315 and 37332 and find the biggest common factor number .

Step-1: Prime Factorization of 37315

Prime factors of 37315 are 5, 17, 439. Prime factorization of 37315 in exponential form is:

37315 = 5¹ × 17¹ × 439¹

Step-2: Prime Factorization of 37332

Prime factors of 37332 are 2, 3, 17, 61. Prime factorization of 37332 in exponential form is:

37332 = 2² × 3² × 17¹ × 61¹

Step-3: Factors of 37315

List of positive integer factors of 37315 that divides 37315 without a remainder.

1, 5, 17, 85, 439, 2195, 7463

Step-4: Factors of 37332

List of positive integer factors of 37332 that divides 37315 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 61, 68, 102, 122, 153, 183, 204, 244, 306, 366, 549, 612, 732, 1037, 1098, 2074, 2196, 3111, 4148, 6222, 9333, 12444, 18666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37315 and 37332. The biggest common factor number is the GCF number.
So the greatest common factor 37315 and 37332 is 17.

Also check out the Least Common Multiple of 37315 and 37332