What is the Greatest Common Factor of 37310 and 37315?

Greatest common factor (GCF) of 37310 and 37315 is 5.

GCF(37310,37315) = 5

We will now calculate the prime factors of 37310 and 37315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37310 and 37315.

How to find the GCF of 37310 and 37315?

We will first find the prime factorization of 37310 and 37315. After we will calculate the factors of 37310 and 37315 and find the biggest common factor number .

Step-1: Prime Factorization of 37310

Prime factors of 37310 are 2, 5, 7, 13, 41. Prime factorization of 37310 in exponential form is:

37310 = 2¹ × 5¹ × 7¹ × 13¹ × 41¹

Step-2: 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-3: Factors of 37310

List of positive integer factors of 37310 that divides 37310 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 41, 65, 70, 82, 91, 130, 182, 205, 287, 410, 455, 533, 574, 910, 1066, 1435, 2665, 2870, 3731, 5330, 7462, 18655

Step-4: Factors of 37315

List of positive integer factors of 37315 that divides 37310 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37310 and 37315. The biggest common factor number is the GCF number.
So the greatest common factor 37310 and 37315 is 5.

Also check out the Least Common Multiple of 37310 and 37315