What is the Greatest Common Factor of 98480 and 98484?

Greatest common factor (GCF) of 98480 and 98484 is 4.

GCF(98480,98484) = 4

We will now calculate the prime factors of 98480 and 98484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98480 and 98484.

How to find the GCF of 98480 and 98484?

We will first find the prime factorization of 98480 and 98484. After we will calculate the factors of 98480 and 98484 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98484

Prime factors of 98484 are 2, 3, 29, 283. Prime factorization of 98484 in exponential form is:

98484 = 2² × 3¹ × 29¹ × 283¹

Step-3: Factors of 98480

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

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

Step-4: Factors of 98484

List of positive integer factors of 98484 that divides 98480 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 283, 348, 566, 849, 1132, 1698, 3396, 8207, 16414, 24621, 32828, 49242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98480 and 98484. The biggest common factor number is the GCF number.
So the greatest common factor 98480 and 98484 is 4.

Also check out the Least Common Multiple of 98480 and 98484