What is the Greatest Common Factor of 98872 and 98888?

Greatest common factor (GCF) of 98872 and 98888 is 8.

GCF(98872,98888) = 8

We will now calculate the prime factors of 98872 and 98888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98872 and 98888.

How to find the GCF of 98872 and 98888?

We will first find the prime factorization of 98872 and 98888. After we will calculate the factors of 98872 and 98888 and find the biggest common factor number .

Step-1: Prime Factorization of 98872

Prime factors of 98872 are 2, 17, 727. Prime factorization of 98872 in exponential form is:

98872 = 2³ × 17¹ × 727¹

Step-2: 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-3: Factors of 98872

List of positive integer factors of 98872 that divides 98872 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 727, 1454, 2908, 5816, 12359, 24718, 49436

Step-4: Factors of 98888

List of positive integer factors of 98888 that divides 98872 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98872 and 98888. The biggest common factor number is the GCF number.
So the greatest common factor 98872 and 98888 is 8.

Also check out the Least Common Multiple of 98872 and 98888