What is the Greatest Common Factor of 98900 and 98904?

Greatest common factor (GCF) of 98900 and 98904 is 4.

GCF(98900,98904) = 4

We will now calculate the prime factors of 98900 and 98904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98900 and 98904.

How to find the GCF of 98900 and 98904?

We will first find the prime factorization of 98900 and 98904. After we will calculate the factors of 98900 and 98904 and find the biggest common factor number .

Step-1: Prime Factorization of 98900

Prime factors of 98900 are 2, 5, 23, 43. Prime factorization of 98900 in exponential form is:

98900 = 2² × 5² × 23¹ × 43¹

Step-2: 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-3: Factors of 98900

List of positive integer factors of 98900 that divides 98900 without a remainder.

1, 2, 4, 5, 10, 20, 23, 25, 43, 46, 50, 86, 92, 100, 115, 172, 215, 230, 430, 460, 575, 860, 989, 1075, 1150, 1978, 2150, 2300, 3956, 4300, 4945, 9890, 19780, 24725, 49450

Step-4: Factors of 98904

List of positive integer factors of 98904 that divides 98900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98900 and 98904. The biggest common factor number is the GCF number.
So the greatest common factor 98900 and 98904 is 4.

Also check out the Least Common Multiple of 98900 and 98904