What is the Greatest Common Factor of 89478 and 89493?

Greatest common factor (GCF) of 89478 and 89493 is 3.

GCF(89478,89493) = 3

We will now calculate the prime factors of 89478 and 89493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89478 and 89493.

How to find the GCF of 89478 and 89493?

We will first find the prime factorization of 89478 and 89493. After we will calculate the factors of 89478 and 89493 and find the biggest common factor number .

Step-1: Prime Factorization of 89478

Prime factors of 89478 are 2, 3, 1657. Prime factorization of 89478 in exponential form is:

89478 = 2¹ × 3³ × 1657¹

Step-2: Prime Factorization of 89493

Prime factors of 89493 are 3, 23, 1297. Prime factorization of 89493 in exponential form is:

89493 = 3¹ × 23¹ × 1297¹

Step-3: Factors of 89478

List of positive integer factors of 89478 that divides 89478 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1657, 3314, 4971, 9942, 14913, 29826, 44739

Step-4: Factors of 89493

List of positive integer factors of 89493 that divides 89478 without a remainder.

1, 3, 23, 69, 1297, 3891, 29831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89478 and 89493. The biggest common factor number is the GCF number.
So the greatest common factor 89478 and 89493 is 3.

Also check out the Least Common Multiple of 89478 and 89493