What is the Greatest Common Factor of 98470 and 98490?

Greatest common factor (GCF) of 98470 and 98490 is 10.

GCF(98470,98490) = 10

We will now calculate the prime factors of 98470 and 98490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98470 and 98490.

How to find the GCF of 98470 and 98490?

We will first find the prime factorization of 98470 and 98490. After we will calculate the factors of 98470 and 98490 and find the biggest common factor number .

Step-1: Prime Factorization of 98470

Prime factors of 98470 are 2, 5, 43, 229. Prime factorization of 98470 in exponential form is:

98470 = 2¹ × 5¹ × 43¹ × 229¹

Step-2: Prime Factorization of 98490

Prime factors of 98490 are 2, 3, 5, 7, 67. Prime factorization of 98490 in exponential form is:

98490 = 2¹ × 3¹ × 5¹ × 7² × 67¹

Step-3: Factors of 98470

List of positive integer factors of 98470 that divides 98470 without a remainder.

1, 2, 5, 10, 43, 86, 215, 229, 430, 458, 1145, 2290, 9847, 19694, 49235

Step-4: Factors of 98490

List of positive integer factors of 98490 that divides 98470 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 67, 70, 98, 105, 134, 147, 201, 210, 245, 294, 335, 402, 469, 490, 670, 735, 938, 1005, 1407, 1470, 2010, 2345, 2814, 3283, 4690, 6566, 7035, 9849, 14070, 16415, 19698, 32830, 49245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98470 and 98490. The biggest common factor number is the GCF number.
So the greatest common factor 98470 and 98490 is 10.

Also check out the Least Common Multiple of 98470 and 98490