What is the Greatest Common Factor of 34488 and 34500?

Greatest common factor (GCF) of 34488 and 34500 is 12.

GCF(34488,34500) = 12

We will now calculate the prime factors of 34488 and 34500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34488 and 34500.

How to find the GCF of 34488 and 34500?

We will first find the prime factorization of 34488 and 34500. After we will calculate the factors of 34488 and 34500 and find the biggest common factor number .

Step-1: Prime Factorization of 34488

Prime factors of 34488 are 2, 3, 479. Prime factorization of 34488 in exponential form is:

34488 = 2³ × 3² × 479¹

Step-2: Prime Factorization of 34500

Prime factors of 34500 are 2, 3, 5, 23. Prime factorization of 34500 in exponential form is:

34500 = 2² × 3¹ × 5³ × 23¹

Step-3: Factors of 34488

List of positive integer factors of 34488 that divides 34488 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 479, 958, 1437, 1916, 2874, 3832, 4311, 5748, 8622, 11496, 17244

Step-4: Factors of 34500

List of positive integer factors of 34500 that divides 34488 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 125, 138, 150, 230, 250, 276, 300, 345, 375, 460, 500, 575, 690, 750, 1150, 1380, 1500, 1725, 2300, 2875, 3450, 5750, 6900, 8625, 11500, 17250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34488 and 34500. The biggest common factor number is the GCF number.
So the greatest common factor 34488 and 34500 is 12.

Also check out the Least Common Multiple of 34488 and 34500