What is the Greatest Common Factor of 89436 and 89456?

Greatest common factor (GCF) of 89436 and 89456 is 4.

GCF(89436,89456) = 4

We will now calculate the prime factors of 89436 and 89456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89436 and 89456.

How to find the GCF of 89436 and 89456?

We will first find the prime factorization of 89436 and 89456. After we will calculate the factors of 89436 and 89456 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 89456

Prime factors of 89456 are 2, 5591. Prime factorization of 89456 in exponential form is:

89456 = 2⁴ × 5591¹

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 89456

List of positive integer factors of 89456 that divides 89436 without a remainder.

1, 2, 4, 8, 16, 5591, 11182, 22364, 44728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89436 and 89456. The biggest common factor number is the GCF number.
So the greatest common factor 89436 and 89456 is 4.

Also check out the Least Common Multiple of 89436 and 89456