What is the Greatest Common Factor of 37231 and 37247?

Greatest common factor (GCF) of 37231 and 37247 is 1.

GCF(37231,37247) = 1

We will now calculate the prime factors of 37231 and 37247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37231 and 37247.

How to find the GCF of 37231 and 37247?

We will first find the prime factorization of 37231 and 37247. After we will calculate the factors of 37231 and 37247 and find the biggest common factor number .

Step-1: Prime Factorization of 37231

Prime factors of 37231 are 31, 1201. Prime factorization of 37231 in exponential form is:

37231 = 31¹ × 1201¹

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 37231

List of positive integer factors of 37231 that divides 37231 without a remainder.

1, 31, 1201

Step-4: Factors of 37247

List of positive integer factors of 37247 that divides 37231 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37231 and 37247. The biggest common factor number is the GCF number.
So the greatest common factor 37231 and 37247 is 1.

Also check out the Least Common Multiple of 37231 and 37247