What is the Greatest Common Factor of 43489 and 43500?

Greatest common factor (GCF) of 43489 and 43500 is 1.

GCF(43489,43500) = 1

We will now calculate the prime factors of 43489 and 43500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43489 and 43500.

How to find the GCF of 43489 and 43500?

We will first find the prime factorization of 43489 and 43500. After we will calculate the factors of 43489 and 43500 and find the biggest common factor number .

Step-1: Prime Factorization of 43489

Prime factors of 43489 are 157, 277. Prime factorization of 43489 in exponential form is:

43489 = 157¹ × 277¹

Step-2: Prime Factorization of 43500

Prime factors of 43500 are 2, 3, 5, 29. Prime factorization of 43500 in exponential form is:

43500 = 2² × 3¹ × 5³ × 29¹

Step-3: Factors of 43489

List of positive integer factors of 43489 that divides 43489 without a remainder.

1, 157, 277

Step-4: Factors of 43500

List of positive integer factors of 43500 that divides 43489 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 125, 145, 150, 174, 250, 290, 300, 348, 375, 435, 500, 580, 725, 750, 870, 1450, 1500, 1740, 2175, 2900, 3625, 4350, 7250, 8700, 10875, 14500, 21750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43489 and 43500. The biggest common factor number is the GCF number.
So the greatest common factor 43489 and 43500 is 1.

Also check out the Least Common Multiple of 43489 and 43500