What is the Greatest Common Factor of 88214 and 88228?

Greatest common factor (GCF) of 88214 and 88228 is 14.

GCF(88214,88228) = 14

We will now calculate the prime factors of 88214 and 88228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88214 and 88228.

How to find the GCF of 88214 and 88228?

We will first find the prime factorization of 88214 and 88228. After we will calculate the factors of 88214 and 88228 and find the biggest common factor number .

Step-1: Prime Factorization of 88214

Prime factors of 88214 are 2, 7, 6301. Prime factorization of 88214 in exponential form is:

88214 = 2¹ × 7¹ × 6301¹

Step-2: Prime Factorization of 88228

Prime factors of 88228 are 2, 7, 23, 137. Prime factorization of 88228 in exponential form is:

88228 = 2² × 7¹ × 23¹ × 137¹

Step-3: Factors of 88214

List of positive integer factors of 88214 that divides 88214 without a remainder.

1, 2, 7, 14, 6301, 12602, 44107

Step-4: Factors of 88228

List of positive integer factors of 88228 that divides 88214 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 137, 161, 274, 322, 548, 644, 959, 1918, 3151, 3836, 6302, 12604, 22057, 44114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88214 and 88228. The biggest common factor number is the GCF number.
So the greatest common factor 88214 and 88228 is 14.

Also check out the Least Common Multiple of 88214 and 88228