What is the Greatest Common Factor of 89396 and 89408?

Greatest common factor (GCF) of 89396 and 89408 is 4.

GCF(89396,89408) = 4

We will now calculate the prime factors of 89396 and 89408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89396 and 89408.

How to find the GCF of 89396 and 89408?

We will first find the prime factorization of 89396 and 89408. After we will calculate the factors of 89396 and 89408 and find the biggest common factor number .

Step-1: Prime Factorization of 89396

Prime factors of 89396 are 2, 22349. Prime factorization of 89396 in exponential form is:

89396 = 2² × 22349¹

Step-2: Prime Factorization of 89408

Prime factors of 89408 are 2, 11, 127. Prime factorization of 89408 in exponential form is:

89408 = 2⁶ × 11¹ × 127¹

Step-3: Factors of 89396

List of positive integer factors of 89396 that divides 89396 without a remainder.

1, 2, 4, 22349, 44698

Step-4: Factors of 89408

List of positive integer factors of 89408 that divides 89396 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 127, 176, 254, 352, 508, 704, 1016, 1397, 2032, 2794, 4064, 5588, 8128, 11176, 22352, 44704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89396 and 89408. The biggest common factor number is the GCF number.
So the greatest common factor 89396 and 89408 is 4.

Also check out the Least Common Multiple of 89396 and 89408