What is the Greatest Common Factor of 89436 and 89448?

Greatest common factor (GCF) of 89436 and 89448 is 12.

GCF(89436,89448) = 12

We will now calculate the prime factors of 89436 and 89448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89436 and 89448.

How to find the GCF of 89436 and 89448?

We will first find the prime factorization of 89436 and 89448. After we will calculate the factors of 89436 and 89448 and find the biggest common factor number .

Step-1: Prime Factorization of 89436

Prime factors of 89436 are 2, 3, 29, 257. Prime factorization of 89436 in exponential form is:

89436 = 2² × 3¹ × 29¹ × 257¹

Step-2: Prime Factorization of 89448

Prime factors of 89448 are 2, 3, 3727. Prime factorization of 89448 in exponential form is:

89448 = 2³ × 3¹ × 3727¹

Step-3: Factors of 89436

List of positive integer factors of 89436 that divides 89436 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 257, 348, 514, 771, 1028, 1542, 3084, 7453, 14906, 22359, 29812, 44718

Step-4: Factors of 89448

List of positive integer factors of 89448 that divides 89436 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3727, 7454, 11181, 14908, 22362, 29816, 44724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89436 and 89448. The biggest common factor number is the GCF number.
So the greatest common factor 89436 and 89448 is 12.

Also check out the Least Common Multiple of 89436 and 89448