What is the Greatest Common Factor of 89427 and 89440?

Greatest common factor (GCF) of 89427 and 89440 is 13.

GCF(89427,89440) = 13

We will now calculate the prime factors of 89427 and 89440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89427 and 89440.

How to find the GCF of 89427 and 89440?

We will first find the prime factorization of 89427 and 89440. After we will calculate the factors of 89427 and 89440 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 89440

Prime factors of 89440 are 2, 5, 13, 43. Prime factorization of 89440 in exponential form is:

89440 = 2⁵ × 5¹ × 13¹ × 43¹

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 89440

List of positive integer factors of 89440 that divides 89427 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 43, 52, 65, 80, 86, 104, 130, 160, 172, 208, 215, 260, 344, 416, 430, 520, 559, 688, 860, 1040, 1118, 1376, 1720, 2080, 2236, 2795, 3440, 4472, 5590, 6880, 8944, 11180, 17888, 22360, 44720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89427 and 89440. The biggest common factor number is the GCF number.
So the greatest common factor 89427 and 89440 is 13.

Also check out the Least Common Multiple of 89427 and 89440