What is the Greatest Common Factor of 46214 and 46228?

Greatest common factor (GCF) of 46214 and 46228 is 14.

GCF(46214,46228) = 14

We will now calculate the prime factors of 46214 and 46228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46214 and 46228.

How to find the GCF of 46214 and 46228?

We will first find the prime factorization of 46214 and 46228. After we will calculate the factors of 46214 and 46228 and find the biggest common factor number .

Step-1: Prime Factorization of 46214

Prime factors of 46214 are 2, 7, 3301. Prime factorization of 46214 in exponential form is:

46214 = 2¹ × 7¹ × 3301¹

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 46214

List of positive integer factors of 46214 that divides 46214 without a remainder.

1, 2, 7, 14, 3301, 6602, 23107

Step-4: Factors of 46228

List of positive integer factors of 46228 that divides 46214 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 46214 and 46228. The biggest common factor number is the GCF number.
So the greatest common factor 46214 and 46228 is 14.

Also check out the Least Common Multiple of 46214 and 46228