What is the Greatest Common Factor of 98475 and 98480?

Greatest common factor (GCF) of 98475 and 98480 is 5.

GCF(98475,98480) = 5

We will now calculate the prime factors of 98475 and 98480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98475 and 98480.

How to find the GCF of 98475 and 98480?

We will first find the prime factorization of 98475 and 98480. After we will calculate the factors of 98475 and 98480 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98480

Prime factors of 98480 are 2, 5, 1231. Prime factorization of 98480 in exponential form is:

98480 = 2⁴ × 5¹ × 1231¹

Step-3: Factors of 98475

List of positive integer factors of 98475 that divides 98475 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

Step-4: Factors of 98480

List of positive integer factors of 98480 that divides 98475 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1231, 2462, 4924, 6155, 9848, 12310, 19696, 24620, 49240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98475 and 98480. The biggest common factor number is the GCF number.
So the greatest common factor 98475 and 98480 is 5.

Also check out the Least Common Multiple of 98475 and 98480