What is the Greatest Common Factor of 98872 and 98878?

Greatest common factor (GCF) of 98872 and 98878 is 2.

GCF(98872,98878) = 2

We will now calculate the prime factors of 98872 and 98878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98872 and 98878.

How to find the GCF of 98872 and 98878?

We will first find the prime factorization of 98872 and 98878. After we will calculate the factors of 98872 and 98878 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 98878

Prime factors of 98878 are 2, 13, 3803. Prime factorization of 98878 in exponential form is:

98878 = 2¹ × 13¹ × 3803¹

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 98878

List of positive integer factors of 98878 that divides 98872 without a remainder.

1, 2, 13, 26, 3803, 7606, 49439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98872 and 98878. The biggest common factor number is the GCF number.
So the greatest common factor 98872 and 98878 is 2.

Also check out the Least Common Multiple of 98872 and 98878