What is the Greatest Common Factor of 74500 and 74509?

Greatest common factor (GCF) of 74500 and 74509 is 1.

GCF(74500,74509) = 1

We will now calculate the prime factors of 74500 and 74509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74500 and 74509.

How to find the GCF of 74500 and 74509?

We will first find the prime factorization of 74500 and 74509. After we will calculate the factors of 74500 and 74509 and find the biggest common factor number .

Step-1: Prime Factorization of 74500

Prime factors of 74500 are 2, 5, 149. Prime factorization of 74500 in exponential form is:

74500 = 2² × 5³ × 149¹

Step-2: Prime Factorization of 74509

Prime factors of 74509 are 74509. Prime factorization of 74509 in exponential form is:

74509 = 74509¹

Step-3: Factors of 74500

List of positive integer factors of 74500 that divides 74500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 149, 250, 298, 500, 596, 745, 1490, 2980, 3725, 7450, 14900, 18625, 37250

Step-4: Factors of 74509

List of positive integer factors of 74509 that divides 74500 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74500 and 74509. The biggest common factor number is the GCF number.
So the greatest common factor 74500 and 74509 is 1.

Also check out the Least Common Multiple of 74500 and 74509