What is the Greatest Common Factor of 99890 and 99904?

Greatest common factor (GCF) of 99890 and 99904 is 14.

GCF(99890,99904) = 14

We will now calculate the prime factors of 99890 and 99904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99890 and 99904.

How to find the GCF of 99890 and 99904?

We will first find the prime factorization of 99890 and 99904. After we will calculate the factors of 99890 and 99904 and find the biggest common factor number .

Step-1: Prime Factorization of 99890

Prime factors of 99890 are 2, 5, 7, 1427. Prime factorization of 99890 in exponential form is:

99890 = 2¹ × 5¹ × 7¹ × 1427¹

Step-2: Prime Factorization of 99904

Prime factors of 99904 are 2, 7, 223. Prime factorization of 99904 in exponential form is:

99904 = 2⁶ × 7¹ × 223¹

Step-3: Factors of 99890

List of positive integer factors of 99890 that divides 99890 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1427, 2854, 7135, 9989, 14270, 19978, 49945

Step-4: Factors of 99904

List of positive integer factors of 99904 that divides 99890 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 223, 224, 446, 448, 892, 1561, 1784, 3122, 3568, 6244, 7136, 12488, 14272, 24976, 49952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99890 and 99904. The biggest common factor number is the GCF number.
So the greatest common factor 99890 and 99904 is 14.

Also check out the Least Common Multiple of 99890 and 99904