What is the Greatest Common Factor of 68214 and 68228?

Greatest common factor (GCF) of 68214 and 68228 is 2.

GCF(68214,68228) = 2

We will now calculate the prime factors of 68214 and 68228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68214 and 68228.

How to find the GCF of 68214 and 68228?

We will first find the prime factorization of 68214 and 68228. After we will calculate the factors of 68214 and 68228 and find the biggest common factor number .

Step-1: Prime Factorization of 68214

Prime factors of 68214 are 2, 3, 11369. Prime factorization of 68214 in exponential form is:

68214 = 2¹ × 3¹ × 11369¹

Step-2: Prime Factorization of 68228

Prime factors of 68228 are 2, 37, 461. Prime factorization of 68228 in exponential form is:

68228 = 2² × 37¹ × 461¹

Step-3: Factors of 68214

List of positive integer factors of 68214 that divides 68214 without a remainder.

1, 2, 3, 6, 11369, 22738, 34107

Step-4: Factors of 68228

List of positive integer factors of 68228 that divides 68214 without a remainder.

1, 2, 4, 37, 74, 148, 461, 922, 1844, 17057, 34114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68214 and 68228. The biggest common factor number is the GCF number.
So the greatest common factor 68214 and 68228 is 2.

Also check out the Least Common Multiple of 68214 and 68228