What is the Greatest Common Factor of 43500 and 43505?

Greatest common factor (GCF) of 43500 and 43505 is 5.

GCF(43500,43505) = 5

We will now calculate the prime factors of 43500 and 43505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43500 and 43505.

How to find the GCF of 43500 and 43505?

We will first find the prime factorization of 43500 and 43505. After we will calculate the factors of 43500 and 43505 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43505

Prime factors of 43505 are 5, 7, 11, 113. Prime factorization of 43505 in exponential form is:

43505 = 5¹ × 7¹ × 11¹ × 113¹

Step-3: Factors of 43500

List of positive integer factors of 43500 that divides 43500 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

Step-4: Factors of 43505

List of positive integer factors of 43505 that divides 43500 without a remainder.

1, 5, 7, 11, 35, 55, 77, 113, 385, 565, 791, 1243, 3955, 6215, 8701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43500 and 43505. The biggest common factor number is the GCF number.
So the greatest common factor 43500 and 43505 is 5.

Also check out the Least Common Multiple of 43500 and 43505