What is the Greatest Common Factor of 70490 and 70500?

Greatest common factor (GCF) of 70490 and 70500 is 10.

GCF(70490,70500) = 10

We will now calculate the prime factors of 70490 and 70500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70490 and 70500.

How to find the GCF of 70490 and 70500?

We will first find the prime factorization of 70490 and 70500. After we will calculate the factors of 70490 and 70500 and find the biggest common factor number .

Step-1: Prime Factorization of 70490

Prime factors of 70490 are 2, 5, 7, 19, 53. Prime factorization of 70490 in exponential form is:

70490 = 2¹ × 5¹ × 7¹ × 19¹ × 53¹

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 70490

List of positive integer factors of 70490 that divides 70490 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 53, 70, 95, 106, 133, 190, 265, 266, 371, 530, 665, 742, 1007, 1330, 1855, 2014, 3710, 5035, 7049, 10070, 14098, 35245

Step-4: Factors of 70500

List of positive integer factors of 70500 that divides 70490 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 70490 and 70500. The biggest common factor number is the GCF number.
So the greatest common factor 70490 and 70500 is 10.

Also check out the Least Common Multiple of 70490 and 70500