What is the Greatest Common Factor of 73489 and 73500?

Greatest common factor (GCF) of 73489 and 73500 is 1.

GCF(73489,73500) = 1

We will now calculate the prime factors of 73489 and 73500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73489 and 73500.

How to find the GCF of 73489 and 73500?

We will first find the prime factorization of 73489 and 73500. After we will calculate the factors of 73489 and 73500 and find the biggest common factor number .

Step-1: Prime Factorization of 73489

Prime factors of 73489 are 13, 5653. Prime factorization of 73489 in exponential form is:

73489 = 13¹ × 5653¹

Step-2: Prime Factorization of 73500

Prime factors of 73500 are 2, 3, 5, 7. Prime factorization of 73500 in exponential form is:

73500 = 2² × 3¹ × 5³ × 7²

Step-3: Factors of 73489

List of positive integer factors of 73489 that divides 73489 without a remainder.

1, 13, 5653

Step-4: Factors of 73500

List of positive integer factors of 73500 that divides 73489 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 49, 50, 60, 70, 75, 84, 98, 100, 105, 125, 140, 147, 150, 175, 196, 210, 245, 250, 294, 300, 350, 375, 420, 490, 500, 525, 588, 700, 735, 750, 875, 980, 1050, 1225, 1470, 1500, 1750, 2100, 2450, 2625, 2940, 3500, 3675, 4900, 5250, 6125, 7350, 10500, 12250, 14700, 18375, 24500, 36750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73489 and 73500. The biggest common factor number is the GCF number.
So the greatest common factor 73489 and 73500 is 1.

Also check out the Least Common Multiple of 73489 and 73500