What is the Greatest Common Factor of 37245 and 37249?

Greatest common factor (GCF) of 37245 and 37249 is 1.

GCF(37245,37249) = 1

We will now calculate the prime factors of 37245 and 37249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37245 and 37249.

How to find the GCF of 37245 and 37249?

We will first find the prime factorization of 37245 and 37249. After we will calculate the factors of 37245 and 37249 and find the biggest common factor number .

Step-1: Prime Factorization of 37245

Prime factors of 37245 are 3, 5, 13, 191. Prime factorization of 37245 in exponential form is:

37245 = 3¹ × 5¹ × 13¹ × 191¹

Step-2: Prime Factorization of 37249

Prime factors of 37249 are 193. Prime factorization of 37249 in exponential form is:

37249 = 193²

Step-3: Factors of 37245

List of positive integer factors of 37245 that divides 37245 without a remainder.

1, 3, 5, 13, 15, 39, 65, 191, 195, 573, 955, 2483, 2865, 7449, 12415

Step-4: Factors of 37249

List of positive integer factors of 37249 that divides 37245 without a remainder.

1, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37245 and 37249. The biggest common factor number is the GCF number.
So the greatest common factor 37245 and 37249 is 1.

Also check out the Least Common Multiple of 37245 and 37249