What is the Greatest Common Factor of 89427 and 89436?

Greatest common factor (GCF) of 89427 and 89436 is 3.

GCF(89427,89436) = 3

We will now calculate the prime factors of 89427 and 89436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89427 and 89436.

How to find the GCF of 89427 and 89436?

We will first find the prime factorization of 89427 and 89436. After we will calculate the factors of 89427 and 89436 and find the biggest common factor number .

Step-1: Prime Factorization of 89427

Prime factors of 89427 are 3, 13, 2293. Prime factorization of 89427 in exponential form is:

89427 = 3¹ × 13¹ × 2293¹

Step-2: 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-3: Factors of 89427

List of positive integer factors of 89427 that divides 89427 without a remainder.

1, 3, 13, 39, 2293, 6879, 29809

Step-4: Factors of 89436

List of positive integer factors of 89436 that divides 89427 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89427 and 89436. The biggest common factor number is the GCF number.
So the greatest common factor 89427 and 89436 is 3.

Also check out the Least Common Multiple of 89427 and 89436