What is the Greatest Common Factor of 98904 and 98920?

Greatest common factor (GCF) of 98904 and 98920 is 8.

GCF(98904,98920) = 8

We will now calculate the prime factors of 98904 and 98920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98904 and 98920.

How to find the GCF of 98904 and 98920?

We will first find the prime factorization of 98904 and 98920. After we will calculate the factors of 98904 and 98920 and find the biggest common factor number .

Step-1: Prime Factorization of 98904

Prime factors of 98904 are 2, 3, 13, 317. Prime factorization of 98904 in exponential form is:

98904 = 2³ × 3¹ × 13¹ × 317¹

Step-2: Prime Factorization of 98920

Prime factors of 98920 are 2, 5, 2473. Prime factorization of 98920 in exponential form is:

98920 = 2³ × 5¹ × 2473¹

Step-3: Factors of 98904

List of positive integer factors of 98904 that divides 98904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312, 317, 634, 951, 1268, 1902, 2536, 3804, 4121, 7608, 8242, 12363, 16484, 24726, 32968, 49452

Step-4: Factors of 98920

List of positive integer factors of 98920 that divides 98904 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2473, 4946, 9892, 12365, 19784, 24730, 49460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98904 and 98920. The biggest common factor number is the GCF number.
So the greatest common factor 98904 and 98920 is 8.

Also check out the Least Common Multiple of 98904 and 98920