What is the Greatest Common Factor of 37225 and 37241?

Greatest common factor (GCF) of 37225 and 37241 is 1.

GCF(37225,37241) = 1

We will now calculate the prime factors of 37225 and 37241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37225 and 37241.

How to find the GCF of 37225 and 37241?

We will first find the prime factorization of 37225 and 37241. After we will calculate the factors of 37225 and 37241 and find the biggest common factor number .

Step-1: Prime Factorization of 37225

Prime factors of 37225 are 5, 1489. Prime factorization of 37225 in exponential form is:

37225 = 5² × 1489¹

Step-2: Prime Factorization of 37241

Prime factors of 37241 are 167, 223. Prime factorization of 37241 in exponential form is:

37241 = 167¹ × 223¹

Step-3: Factors of 37225

List of positive integer factors of 37225 that divides 37225 without a remainder.

1, 5, 25, 1489, 7445

Step-4: Factors of 37241

List of positive integer factors of 37241 that divides 37225 without a remainder.

1, 167, 223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37225 and 37241. The biggest common factor number is the GCF number.
So the greatest common factor 37225 and 37241 is 1.

Also check out the Least Common Multiple of 37225 and 37241