What is the Greatest Common Factor of 89222 and 89236?

Greatest common factor (GCF) of 89222 and 89236 is 14.

GCF(89222,89236) = 14

We will now calculate the prime factors of 89222 and 89236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89222 and 89236.

How to find the GCF of 89222 and 89236?

We will first find the prime factorization of 89222 and 89236. After we will calculate the factors of 89222 and 89236 and find the biggest common factor number .

Step-1: Prime Factorization of 89222

Prime factors of 89222 are 2, 7, 6373. Prime factorization of 89222 in exponential form is:

89222 = 2¹ × 7¹ × 6373¹

Step-2: Prime Factorization of 89236

Prime factors of 89236 are 2, 7, 3187. Prime factorization of 89236 in exponential form is:

89236 = 2² × 7¹ × 3187¹

Step-3: Factors of 89222

List of positive integer factors of 89222 that divides 89222 without a remainder.

1, 2, 7, 14, 6373, 12746, 44611

Step-4: Factors of 89236

List of positive integer factors of 89236 that divides 89222 without a remainder.

1, 2, 4, 7, 14, 28, 3187, 6374, 12748, 22309, 44618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89222 and 89236. The biggest common factor number is the GCF number.
So the greatest common factor 89222 and 89236 is 14.

Also check out the Least Common Multiple of 89222 and 89236