What is the Greatest Common Factor of 89228 and 89248?

Greatest common factor (GCF) of 89228 and 89248 is 4.

GCF(89228,89248) = 4

We will now calculate the prime factors of 89228 and 89248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89228 and 89248.

How to find the GCF of 89228 and 89248?

We will first find the prime factorization of 89228 and 89248. After we will calculate the factors of 89228 and 89248 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 89248

Prime factors of 89248 are 2, 2789. Prime factorization of 89248 in exponential form is:

89248 = 2⁵ × 2789¹

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 89248

List of positive integer factors of 89248 that divides 89228 without a remainder.

1, 2, 4, 8, 16, 32, 2789, 5578, 11156, 22312, 44624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89228 and 89248. The biggest common factor number is the GCF number.
So the greatest common factor 89228 and 89248 is 4.

Also check out the Least Common Multiple of 89228 and 89248