What is the Greatest Common Factor of 64225 and 64241?

Greatest common factor (GCF) of 64225 and 64241 is 1.

GCF(64225,64241) = 1

We will now calculate the prime factors of 64225 and 64241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64225 and 64241.

How to find the GCF of 64225 and 64241?

We will first find the prime factorization of 64225 and 64241. After we will calculate the factors of 64225 and 64241 and find the biggest common factor number .

Step-1: Prime Factorization of 64225

Prime factors of 64225 are 5, 7, 367. Prime factorization of 64225 in exponential form is:

64225 = 5² × 7¹ × 367¹

Step-2: Prime Factorization of 64241

Prime factors of 64241 are 227, 283. Prime factorization of 64241 in exponential form is:

64241 = 227¹ × 283¹

Step-3: Factors of 64225

List of positive integer factors of 64225 that divides 64225 without a remainder.

1, 5, 7, 25, 35, 175, 367, 1835, 2569, 9175, 12845

Step-4: Factors of 64241

List of positive integer factors of 64241 that divides 64225 without a remainder.

1, 227, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64225 and 64241. The biggest common factor number is the GCF number.
So the greatest common factor 64225 and 64241 is 1.

Also check out the Least Common Multiple of 64225 and 64241