What is the Greatest Common Factor of 89216 and 89229?

Greatest common factor (GCF) of 89216 and 89229 is 1.

GCF(89216,89229) = 1

We will now calculate the prime factors of 89216 and 89229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89216 and 89229.

How to find the GCF of 89216 and 89229?

We will first find the prime factorization of 89216 and 89229. After we will calculate the factors of 89216 and 89229 and find the biggest common factor number .

Step-1: Prime Factorization of 89216

Prime factors of 89216 are 2, 17, 41. Prime factorization of 89216 in exponential form is:

89216 = 2⁷ × 17¹ × 41¹

Step-2: Prime Factorization of 89229

Prime factors of 89229 are 3, 7, 607. Prime factorization of 89229 in exponential form is:

89229 = 3¹ × 7² × 607¹

Step-3: Factors of 89216

List of positive integer factors of 89216 that divides 89216 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 41, 64, 68, 82, 128, 136, 164, 272, 328, 544, 656, 697, 1088, 1312, 1394, 2176, 2624, 2788, 5248, 5576, 11152, 22304, 44608

Step-4: Factors of 89229

List of positive integer factors of 89229 that divides 89216 without a remainder.

1, 3, 7, 21, 49, 147, 607, 1821, 4249, 12747, 29743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89216 and 89229. The biggest common factor number is the GCF number.
So the greatest common factor 89216 and 89229 is 1.

Also check out the Least Common Multiple of 89216 and 89229