What is the Greatest Common Factor of 37393 and 37410?

Greatest common factor (GCF) of 37393 and 37410 is 1.

GCF(37393,37410) = 1

We will now calculate the prime factors of 37393 and 37410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37393 and 37410.

How to find the GCF of 37393 and 37410?

We will first find the prime factorization of 37393 and 37410. After we will calculate the factors of 37393 and 37410 and find the biggest common factor number .

Step-1: Prime Factorization of 37393

Prime factors of 37393 are 61, 613. Prime factorization of 37393 in exponential form is:

37393 = 61¹ × 613¹

Step-2: Prime Factorization of 37410

Prime factors of 37410 are 2, 3, 5, 29, 43. Prime factorization of 37410 in exponential form is:

37410 = 2¹ × 3¹ × 5¹ × 29¹ × 43¹

Step-3: Factors of 37393

List of positive integer factors of 37393 that divides 37393 without a remainder.

1, 61, 613

Step-4: Factors of 37410

List of positive integer factors of 37410 that divides 37393 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 43, 58, 86, 87, 129, 145, 174, 215, 258, 290, 430, 435, 645, 870, 1247, 1290, 2494, 3741, 6235, 7482, 12470, 18705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37393 and 37410. The biggest common factor number is the GCF number.
So the greatest common factor 37393 and 37410 is 1.

Also check out the Least Common Multiple of 37393 and 37410