What is the Greatest Common Factor of 37237 and 37247?

Greatest common factor (GCF) of 37237 and 37247 is 1.

GCF(37237,37247) = 1

We will now calculate the prime factors of 37237 and 37247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37237 and 37247.

How to find the GCF of 37237 and 37247?

We will first find the prime factorization of 37237 and 37247. After we will calculate the factors of 37237 and 37247 and find the biggest common factor number .

Step-1: Prime Factorization of 37237

Prime factors of 37237 are 23, 1619. Prime factorization of 37237 in exponential form is:

37237 = 23¹ × 1619¹

Step-2: Prime Factorization of 37247

Prime factors of 37247 are 7, 17, 313. Prime factorization of 37247 in exponential form is:

37247 = 7¹ × 17¹ × 313¹

Step-3: Factors of 37237

List of positive integer factors of 37237 that divides 37237 without a remainder.

1, 23, 1619

Step-4: Factors of 37247

List of positive integer factors of 37247 that divides 37237 without a remainder.

1, 7, 17, 119, 313, 2191, 5321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37237 and 37247. The biggest common factor number is the GCF number.
So the greatest common factor 37237 and 37247 is 1.

Also check out the Least Common Multiple of 37237 and 37247