What is the Greatest Common Factor of 49235 and 49241?

Greatest common factor (GCF) of 49235 and 49241 is 1.

GCF(49235,49241) = 1

We will now calculate the prime factors of 49235 and 49241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49235 and 49241.

How to find the GCF of 49235 and 49241?

We will first find the prime factorization of 49235 and 49241. After we will calculate the factors of 49235 and 49241 and find the biggest common factor number .

Step-1: Prime Factorization of 49235

Prime factors of 49235 are 5, 43, 229. Prime factorization of 49235 in exponential form is:

49235 = 5¹ × 43¹ × 229¹

Step-2: Prime Factorization of 49241

Prime factors of 49241 are 41, 1201. Prime factorization of 49241 in exponential form is:

49241 = 41¹ × 1201¹

Step-3: Factors of 49235

List of positive integer factors of 49235 that divides 49235 without a remainder.

1, 5, 43, 215, 229, 1145, 9847

Step-4: Factors of 49241

List of positive integer factors of 49241 that divides 49235 without a remainder.

1, 41, 1201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49235 and 49241. The biggest common factor number is the GCF number.
So the greatest common factor 49235 and 49241 is 1.

Also check out the Least Common Multiple of 49235 and 49241