What is the Greatest Common Factor of 34489 and 34500?

Greatest common factor (GCF) of 34489 and 34500 is 1.

GCF(34489,34500) = 1

We will now calculate the prime factors of 34489 and 34500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34489 and 34500.

How to find the GCF of 34489 and 34500?

We will first find the prime factorization of 34489 and 34500. After we will calculate the factors of 34489 and 34500 and find the biggest common factor number .

Step-1: Prime Factorization of 34489

Prime factors of 34489 are 7, 13, 379. Prime factorization of 34489 in exponential form is:

34489 = 7¹ × 13¹ × 379¹

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 34489

List of positive integer factors of 34489 that divides 34489 without a remainder.

1, 7, 13, 91, 379, 2653, 4927

Step-4: Factors of 34500

List of positive integer factors of 34500 that divides 34489 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 34489 and 34500. The biggest common factor number is the GCF number.
So the greatest common factor 34489 and 34500 is 1.

Also check out the Least Common Multiple of 34489 and 34500