What is the Greatest Common Factor of 98888 and 98898?

Greatest common factor (GCF) of 98888 and 98898 is 2.

GCF(98888,98898) = 2

We will now calculate the prime factors of 98888 and 98898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98888 and 98898.

How to find the GCF of 98888 and 98898?

We will first find the prime factorization of 98888 and 98898. After we will calculate the factors of 98888 and 98898 and find the biggest common factor number .

Step-1: Prime Factorization of 98888

Prime factors of 98888 are 2, 47, 263. Prime factorization of 98888 in exponential form is:

98888 = 2³ × 47¹ × 263¹

Step-2: Prime Factorization of 98898

Prime factors of 98898 are 2, 3, 53, 311. Prime factorization of 98898 in exponential form is:

98898 = 2¹ × 3¹ × 53¹ × 311¹

Step-3: Factors of 98888

List of positive integer factors of 98888 that divides 98888 without a remainder.

1, 2, 4, 8, 47, 94, 188, 263, 376, 526, 1052, 2104, 12361, 24722, 49444

Step-4: Factors of 98898

List of positive integer factors of 98898 that divides 98888 without a remainder.

1, 2, 3, 6, 53, 106, 159, 311, 318, 622, 933, 1866, 16483, 32966, 49449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98888 and 98898. The biggest common factor number is the GCF number.
So the greatest common factor 98888 and 98898 is 2.

Also check out the Least Common Multiple of 98888 and 98898