What is the Greatest Common Factor of 46209 and 46228?

Greatest common factor (GCF) of 46209 and 46228 is 1.

GCF(46209,46228) = 1

We will now calculate the prime factors of 46209 and 46228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46209 and 46228.

How to find the GCF of 46209 and 46228?

We will first find the prime factorization of 46209 and 46228. After we will calculate the factors of 46209 and 46228 and find the biggest common factor number .

Step-1: Prime Factorization of 46209

Prime factors of 46209 are 3, 73, 211. Prime factorization of 46209 in exponential form is:

46209 = 3¹ × 73¹ × 211¹

Step-2: 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-3: Factors of 46209

List of positive integer factors of 46209 that divides 46209 without a remainder.

1, 3, 73, 211, 219, 633, 15403

Step-4: Factors of 46228

List of positive integer factors of 46228 that divides 46209 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46209 and 46228. The biggest common factor number is the GCF number.
So the greatest common factor 46209 and 46228 is 1.

Also check out the Least Common Multiple of 46209 and 46228