What is the Greatest Common Factor of 89204 and 89214?

Greatest common factor (GCF) of 89204 and 89214 is 2.

GCF(89204,89214) = 2

We will now calculate the prime factors of 89204 and 89214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89204 and 89214.

How to find the GCF of 89204 and 89214?

We will first find the prime factorization of 89204 and 89214. After we will calculate the factors of 89204 and 89214 and find the biggest common factor number .

Step-1: Prime Factorization of 89204

Prime factors of 89204 are 2, 29, 769. Prime factorization of 89204 in exponential form is:

89204 = 2² × 29¹ × 769¹

Step-2: Prime Factorization of 89214

Prime factors of 89214 are 2, 3, 14869. Prime factorization of 89214 in exponential form is:

89214 = 2¹ × 3¹ × 14869¹

Step-3: Factors of 89204

List of positive integer factors of 89204 that divides 89204 without a remainder.

1, 2, 4, 29, 58, 116, 769, 1538, 3076, 22301, 44602

Step-4: Factors of 89214

List of positive integer factors of 89214 that divides 89204 without a remainder.

1, 2, 3, 6, 14869, 29738, 44607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89204 and 89214. The biggest common factor number is the GCF number.
So the greatest common factor 89204 and 89214 is 2.

Also check out the Least Common Multiple of 89204 and 89214