What is the Greatest Common Factor of 74500 and 74508?

Greatest common factor (GCF) of 74500 and 74508 is 4.

GCF(74500,74508) = 4

We will now calculate the prime factors of 74500 and 74508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74500 and 74508.

How to find the GCF of 74500 and 74508?

We will first find the prime factorization of 74500 and 74508. After we will calculate the factors of 74500 and 74508 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 74508

Prime factors of 74508 are 2, 3, 7, 887. Prime factorization of 74508 in exponential form is:

74508 = 2² × 3¹ × 7¹ × 887¹

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 74508

List of positive integer factors of 74508 that divides 74500 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 887, 1774, 2661, 3548, 5322, 6209, 10644, 12418, 18627, 24836, 37254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74500 and 74508. The biggest common factor number is the GCF number.
So the greatest common factor 74500 and 74508 is 4.

Also check out the Least Common Multiple of 74500 and 74508