What is the Greatest Common Factor of 37281 and 37285?

Greatest common factor (GCF) of 37281 and 37285 is 1.

GCF(37281,37285) = 1

We will now calculate the prime factors of 37281 and 37285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37281 and 37285.

How to find the GCF of 37281 and 37285?

We will first find the prime factorization of 37281 and 37285. After we will calculate the factors of 37281 and 37285 and find the biggest common factor number .

Step-1: Prime Factorization of 37281

Prime factors of 37281 are 3, 17, 43. Prime factorization of 37281 in exponential form is:

37281 = 3¹ × 17² × 43¹

Step-2: Prime Factorization of 37285

Prime factors of 37285 are 5, 7457. Prime factorization of 37285 in exponential form is:

37285 = 5¹ × 7457¹

Step-3: Factors of 37281

List of positive integer factors of 37281 that divides 37281 without a remainder.

1, 3, 17, 43, 51, 129, 289, 731, 867, 2193, 12427

Step-4: Factors of 37285

List of positive integer factors of 37285 that divides 37281 without a remainder.

1, 5, 7457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37281 and 37285. The biggest common factor number is the GCF number.
So the greatest common factor 37281 and 37285 is 1.

Also check out the Least Common Multiple of 37281 and 37285