What is the Greatest Common Factor of 67228 and 67241?

Greatest common factor (GCF) of 67228 and 67241 is 1.

GCF(67228,67241) = 1

We will now calculate the prime factors of 67228 and 67241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67228 and 67241.

How to find the GCF of 67228 and 67241?

We will first find the prime factorization of 67228 and 67241. After we will calculate the factors of 67228 and 67241 and find the biggest common factor number .

Step-1: Prime Factorization of 67228

Prime factors of 67228 are 2, 7. Prime factorization of 67228 in exponential form is:

67228 = 2² × 7⁵

Step-2: Prime Factorization of 67241

Prime factors of 67241 are 19, 3539. Prime factorization of 67241 in exponential form is:

67241 = 19¹ × 3539¹

Step-3: Factors of 67228

List of positive integer factors of 67228 that divides 67228 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604, 16807, 33614

Step-4: Factors of 67241

List of positive integer factors of 67241 that divides 67228 without a remainder.

1, 19, 3539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67228 and 67241. The biggest common factor number is the GCF number.
So the greatest common factor 67228 and 67241 is 1.

Also check out the Least Common Multiple of 67228 and 67241