What is the Greatest Common Factor of 74500 and 74519?

Greatest common factor (GCF) of 74500 and 74519 is 1.

GCF(74500,74519) = 1

We will now calculate the prime factors of 74500 and 74519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74500 and 74519.

How to find the GCF of 74500 and 74519?

We will first find the prime factorization of 74500 and 74519. After we will calculate the factors of 74500 and 74519 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 74519

Prime factors of 74519 are 43, 1733. Prime factorization of 74519 in exponential form is:

74519 = 43¹ × 1733¹

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 74519

List of positive integer factors of 74519 that divides 74500 without a remainder.

1, 43, 1733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74500 and 74519. The biggest common factor number is the GCF number.
So the greatest common factor 74500 and 74519 is 1.

Also check out the Least Common Multiple of 74500 and 74519