What is the Greatest Common Factor of 98888 and 98896?

Greatest common factor (GCF) of 98888 and 98896 is 8.

GCF(98888,98896) = 8

We will now calculate the prime factors of 98888 and 98896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98888 and 98896.

How to find the GCF of 98888 and 98896?

We will first find the prime factorization of 98888 and 98896. After we will calculate the factors of 98888 and 98896 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 98896

Prime factors of 98896 are 2, 7, 883. Prime factorization of 98896 in exponential form is:

98896 = 2⁴ × 7¹ × 883¹

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 98896

List of positive integer factors of 98896 that divides 98888 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 883, 1766, 3532, 6181, 7064, 12362, 14128, 24724, 49448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98888 and 98896. The biggest common factor number is the GCF number.
So the greatest common factor 98888 and 98896 is 8.

Also check out the Least Common Multiple of 98888 and 98896