What is the Greatest Common Factor of 99878 and 99888?

Greatest common factor (GCF) of 99878 and 99888 is 2.

GCF(99878,99888) = 2

We will now calculate the prime factors of 99878 and 99888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99878 and 99888.

How to find the GCF of 99878 and 99888?

We will first find the prime factorization of 99878 and 99888. After we will calculate the factors of 99878 and 99888 and find the biggest common factor number .

Step-1: Prime Factorization of 99878

Prime factors of 99878 are 2, 49939. Prime factorization of 99878 in exponential form is:

99878 = 2¹ × 49939¹

Step-2: Prime Factorization of 99888

Prime factors of 99888 are 2, 3, 2081. Prime factorization of 99888 in exponential form is:

99888 = 2⁴ × 3¹ × 2081¹

Step-3: Factors of 99878

List of positive integer factors of 99878 that divides 99878 without a remainder.

1, 2, 49939

Step-4: Factors of 99888

List of positive integer factors of 99888 that divides 99878 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2081, 4162, 6243, 8324, 12486, 16648, 24972, 33296, 49944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99878 and 99888. The biggest common factor number is the GCF number.
So the greatest common factor 99878 and 99888 is 2.

Also check out the Least Common Multiple of 99878 and 99888