What is the Greatest Common Factor of 89284 and 89296?

Greatest common factor (GCF) of 89284 and 89296 is 4.

GCF(89284,89296) = 4

We will now calculate the prime factors of 89284 and 89296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89284 and 89296.

How to find the GCF of 89284 and 89296?

We will first find the prime factorization of 89284 and 89296. After we will calculate the factors of 89284 and 89296 and find the biggest common factor number .

Step-1: Prime Factorization of 89284

Prime factors of 89284 are 2, 13, 17, 101. Prime factorization of 89284 in exponential form is:

89284 = 2² × 13¹ × 17¹ × 101¹

Step-2: Prime Factorization of 89296

Prime factors of 89296 are 2, 5581. Prime factorization of 89296 in exponential form is:

89296 = 2⁴ × 5581¹

Step-3: Factors of 89284

List of positive integer factors of 89284 that divides 89284 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 101, 202, 221, 404, 442, 884, 1313, 1717, 2626, 3434, 5252, 6868, 22321, 44642

Step-4: Factors of 89296

List of positive integer factors of 89296 that divides 89284 without a remainder.

1, 2, 4, 8, 16, 5581, 11162, 22324, 44648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89284 and 89296. The biggest common factor number is the GCF number.
So the greatest common factor 89284 and 89296 is 4.

Also check out the Least Common Multiple of 89284 and 89296