What is the Greatest Common Factor of 46228 and 46232?

Greatest common factor (GCF) of 46228 and 46232 is 4.

GCF(46228,46232) = 4

We will now calculate the prime factors of 46228 and 46232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46228 and 46232.

How to find the GCF of 46228 and 46232?

We will first find the prime factorization of 46228 and 46232. After we will calculate the factors of 46228 and 46232 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 46232

Prime factors of 46232 are 2, 5779. Prime factorization of 46232 in exponential form is:

46232 = 2³ × 5779¹

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 46232

List of positive integer factors of 46232 that divides 46228 without a remainder.

1, 2, 4, 8, 5779, 11558, 23116

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46228 and 46232. The biggest common factor number is the GCF number.
So the greatest common factor 46228 and 46232 is 4.

Also check out the Least Common Multiple of 46228 and 46232