What is the Greatest Common Factor of 70485 and 70500?

Greatest common factor (GCF) of 70485 and 70500 is 15.

GCF(70485,70500) = 15

We will now calculate the prime factors of 70485 and 70500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70485 and 70500.

How to find the GCF of 70485 and 70500?

We will first find the prime factorization of 70485 and 70500. After we will calculate the factors of 70485 and 70500 and find the biggest common factor number .

Step-1: Prime Factorization of 70485

Prime factors of 70485 are 3, 5, 37, 127. Prime factorization of 70485 in exponential form is:

70485 = 3¹ × 5¹ × 37¹ × 127¹

Step-2: Prime Factorization of 70500

Prime factors of 70500 are 2, 3, 5, 47. Prime factorization of 70500 in exponential form is:

70500 = 2² × 3¹ × 5³ × 47¹

Step-3: Factors of 70485

List of positive integer factors of 70485 that divides 70485 without a remainder.

1, 3, 5, 15, 37, 111, 127, 185, 381, 555, 635, 1905, 4699, 14097, 23495

Step-4: Factors of 70500

List of positive integer factors of 70500 that divides 70485 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 47, 50, 60, 75, 94, 100, 125, 141, 150, 188, 235, 250, 282, 300, 375, 470, 500, 564, 705, 750, 940, 1175, 1410, 1500, 2350, 2820, 3525, 4700, 5875, 7050, 11750, 14100, 17625, 23500, 35250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70485 and 70500. The biggest common factor number is the GCF number.
So the greatest common factor 70485 and 70500 is 15.

Also check out the Least Common Multiple of 70485 and 70500