What is the Greatest Common Factor of 88204 and 88214?

Greatest common factor (GCF) of 88204 and 88214 is 2.

GCF(88204,88214) = 2

We will now calculate the prime factors of 88204 and 88214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88204 and 88214.

How to find the GCF of 88204 and 88214?

We will first find the prime factorization of 88204 and 88214. After we will calculate the factors of 88204 and 88214 and find the biggest common factor number .

Step-1: Prime Factorization of 88204

Prime factors of 88204 are 2, 22051. Prime factorization of 88204 in exponential form is:

88204 = 2² × 22051¹

Step-2: 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-3: Factors of 88204

List of positive integer factors of 88204 that divides 88204 without a remainder.

1, 2, 4, 22051, 44102

Step-4: Factors of 88214

List of positive integer factors of 88214 that divides 88204 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88204 and 88214. The biggest common factor number is the GCF number.
So the greatest common factor 88204 and 88214 is 2.

Also check out the Least Common Multiple of 88204 and 88214