What is the Greatest Common Factor of 46228 and 46241?

Greatest common factor (GCF) of 46228 and 46241 is 13.

GCF(46228,46241) = 13

We will now calculate the prime factors of 46228 and 46241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46228 and 46241.

How to find the GCF of 46228 and 46241?

We will first find the prime factorization of 46228 and 46241. After we will calculate the factors of 46228 and 46241 and find the biggest common factor number .

Step-1: Prime Factorization of 46228

Prime factors of 46228 are 2, 7, 13, 127. Prime factorization of 46228 in exponential form is:

46228 = 2² × 7¹ × 13¹ × 127¹

Step-2: Prime Factorization of 46241

Prime factors of 46241 are 13, 3557. Prime factorization of 46241 in exponential form is:

46241 = 13¹ × 3557¹

Step-3: Factors of 46228

List of positive integer factors of 46228 that divides 46228 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 127, 182, 254, 364, 508, 889, 1651, 1778, 3302, 3556, 6604, 11557, 23114

Step-4: Factors of 46241

List of positive integer factors of 46241 that divides 46228 without a remainder.

1, 13, 3557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46228 and 46241. The biggest common factor number is the GCF number.
So the greatest common factor 46228 and 46241 is 13.

Also check out the Least Common Multiple of 46228 and 46241