What is the Greatest Common Factor of 70470 and 70490?

Greatest common factor (GCF) of 70470 and 70490 is 10.

GCF(70470,70490) = 10

We will now calculate the prime factors of 70470 and 70490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70470 and 70490.

How to find the GCF of 70470 and 70490?

We will first find the prime factorization of 70470 and 70490. After we will calculate the factors of 70470 and 70490 and find the biggest common factor number .

Step-1: Prime Factorization of 70470

Prime factors of 70470 are 2, 3, 5, 29. Prime factorization of 70470 in exponential form is:

70470 = 2¹ × 3⁵ × 5¹ × 29¹

Step-2: 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-3: Factors of 70470

List of positive integer factors of 70470 that divides 70470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 81, 87, 90, 135, 145, 162, 174, 243, 261, 270, 290, 405, 435, 486, 522, 783, 810, 870, 1215, 1305, 1566, 2349, 2430, 2610, 3915, 4698, 7047, 7830, 11745, 14094, 23490, 35235

Step-4: Factors of 70490

List of positive integer factors of 70490 that divides 70470 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70470 and 70490. The biggest common factor number is the GCF number.
So the greatest common factor 70470 and 70490 is 10.

Also check out the Least Common Multiple of 70470 and 70490