What is the Greatest Common Factor of 47225 and 47237?

Greatest common factor (GCF) of 47225 and 47237 is 1.

GCF(47225,47237) = 1

We will now calculate the prime factors of 47225 and 47237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47225 and 47237.

How to find the GCF of 47225 and 47237?

We will first find the prime factorization of 47225 and 47237. After we will calculate the factors of 47225 and 47237 and find the biggest common factor number .

Step-1: Prime Factorization of 47225

Prime factors of 47225 are 5, 1889. Prime factorization of 47225 in exponential form is:

47225 = 5² × 1889¹

Step-2: Prime Factorization of 47237

Prime factors of 47237 are 47237. Prime factorization of 47237 in exponential form is:

47237 = 47237¹

Step-3: Factors of 47225

List of positive integer factors of 47225 that divides 47225 without a remainder.

1, 5, 25, 1889, 9445

Step-4: Factors of 47237

List of positive integer factors of 47237 that divides 47225 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47225 and 47237. The biggest common factor number is the GCF number.
So the greatest common factor 47225 and 47237 is 1.

Also check out the Least Common Multiple of 47225 and 47237