What is the Greatest Common Factor of 37310 and 37325?

Greatest common factor (GCF) of 37310 and 37325 is 5.

GCF(37310,37325) = 5

We will now calculate the prime factors of 37310 and 37325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37310 and 37325.

How to find the GCF of 37310 and 37325?

We will first find the prime factorization of 37310 and 37325. After we will calculate the factors of 37310 and 37325 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 37325

Prime factors of 37325 are 5, 1493. Prime factorization of 37325 in exponential form is:

37325 = 5² × 1493¹

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 37325

List of positive integer factors of 37325 that divides 37310 without a remainder.

1, 5, 25, 1493, 7465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37310 and 37325. The biggest common factor number is the GCF number.
So the greatest common factor 37310 and 37325 is 5.

Also check out the Least Common Multiple of 37310 and 37325