What is the Greatest Common Factor of 37238 and 37253?

Greatest common factor (GCF) of 37238 and 37253 is 1.

GCF(37238,37253) = 1

We will now calculate the prime factors of 37238 and 37253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37238 and 37253.

How to find the GCF of 37238 and 37253?

We will first find the prime factorization of 37238 and 37253. After we will calculate the factors of 37238 and 37253 and find the biggest common factor number .

Step-1: Prime Factorization of 37238

Prime factors of 37238 are 2, 43, 433. Prime factorization of 37238 in exponential form is:

37238 = 2¹ × 43¹ × 433¹

Step-2: Prime Factorization of 37253

Prime factors of 37253 are 37253. Prime factorization of 37253 in exponential form is:

37253 = 37253¹

Step-3: Factors of 37238

List of positive integer factors of 37238 that divides 37238 without a remainder.

1, 2, 43, 86, 433, 866, 18619

Step-4: Factors of 37253

List of positive integer factors of 37253 that divides 37238 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37238 and 37253. The biggest common factor number is the GCF number.
So the greatest common factor 37238 and 37253 is 1.

Also check out the Least Common Multiple of 37238 and 37253