What is the Greatest Common Factor of 37310 and 37324?

Greatest common factor (GCF) of 37310 and 37324 is 14.

GCF(37310,37324) = 14

We will now calculate the prime factors of 37310 and 37324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37310 and 37324.

How to find the GCF of 37310 and 37324?

We will first find the prime factorization of 37310 and 37324. After we will calculate the factors of 37310 and 37324 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 37324

Prime factors of 37324 are 2, 7, 31, 43. Prime factorization of 37324 in exponential form is:

37324 = 2² × 7¹ × 31¹ × 43¹

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 37324

List of positive integer factors of 37324 that divides 37310 without a remainder.

1, 2, 4, 7, 14, 28, 31, 43, 62, 86, 124, 172, 217, 301, 434, 602, 868, 1204, 1333, 2666, 5332, 9331, 18662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37310 and 37324. The biggest common factor number is the GCF number.
So the greatest common factor 37310 and 37324 is 14.

Also check out the Least Common Multiple of 37310 and 37324