What is the Greatest Common Factor of 98470 and 98475?

Greatest common factor (GCF) of 98470 and 98475 is 5.

GCF(98470,98475) = 5

We will now calculate the prime factors of 98470 and 98475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98470 and 98475.

How to find the GCF of 98470 and 98475?

We will first find the prime factorization of 98470 and 98475. After we will calculate the factors of 98470 and 98475 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 98475

Prime factors of 98475 are 3, 5, 13, 101. Prime factorization of 98475 in exponential form is:

98475 = 3¹ × 5² × 13¹ × 101¹

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 98475

List of positive integer factors of 98475 that divides 98470 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 101, 195, 303, 325, 505, 975, 1313, 1515, 2525, 3939, 6565, 7575, 19695, 32825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98470 and 98475. The biggest common factor number is the GCF number.
So the greatest common factor 98470 and 98475 is 5.

Also check out the Least Common Multiple of 98470 and 98475