What is the Greatest Common Factor of 89228 and 89236?

Greatest common factor (GCF) of 89228 and 89236 is 4.

GCF(89228,89236) = 4

We will now calculate the prime factors of 89228 and 89236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89228 and 89236.

How to find the GCF of 89228 and 89236?

We will first find the prime factorization of 89228 and 89236. After we will calculate the factors of 89228 and 89236 and find the biggest common factor number .

Step-1: Prime Factorization of 89228

Prime factors of 89228 are 2, 22307. Prime factorization of 89228 in exponential form is:

89228 = 2² × 22307¹

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 89228

List of positive integer factors of 89228 that divides 89228 without a remainder.

1, 2, 4, 22307, 44614

Step-4: Factors of 89236

List of positive integer factors of 89236 that divides 89228 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 89228 and 89236. The biggest common factor number is the GCF number.
So the greatest common factor 89228 and 89236 is 4.

Also check out the Least Common Multiple of 89228 and 89236