What is the Greatest Common Factor of 47489 and 47500?

Greatest common factor (GCF) of 47489 and 47500 is 1.

GCF(47489,47500) = 1

We will now calculate the prime factors of 47489 and 47500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47489 and 47500.

How to find the GCF of 47489 and 47500?

We will first find the prime factorization of 47489 and 47500. After we will calculate the factors of 47489 and 47500 and find the biggest common factor number .

Step-1: Prime Factorization of 47489

Prime factors of 47489 are 13, 281. Prime factorization of 47489 in exponential form is:

47489 = 13² × 281¹

Step-2: Prime Factorization of 47500

Prime factors of 47500 are 2, 5, 19. Prime factorization of 47500 in exponential form is:

47500 = 2² × 5⁴ × 19¹

Step-3: Factors of 47489

List of positive integer factors of 47489 that divides 47489 without a remainder.

1, 13, 169, 281, 3653

Step-4: Factors of 47500

List of positive integer factors of 47500 that divides 47489 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 625, 950, 1250, 1900, 2375, 2500, 4750, 9500, 11875, 23750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47489 and 47500. The biggest common factor number is the GCF number.
So the greatest common factor 47489 and 47500 is 1.

Also check out the Least Common Multiple of 47489 and 47500