What is the Greatest Common Factor of 98864 and 98876?

Greatest common factor (GCF) of 98864 and 98876 is 4.

GCF(98864,98876) = 4

We will now calculate the prime factors of 98864 and 98876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98864 and 98876.

How to find the GCF of 98864 and 98876?

We will first find the prime factorization of 98864 and 98876. After we will calculate the factors of 98864 and 98876 and find the biggest common factor number .

Step-1: Prime Factorization of 98864

Prime factors of 98864 are 2, 37, 167. Prime factorization of 98864 in exponential form is:

98864 = 2⁴ × 37¹ × 167¹

Step-2: Prime Factorization of 98876

Prime factors of 98876 are 2, 19, 1301. Prime factorization of 98876 in exponential form is:

98876 = 2² × 19¹ × 1301¹

Step-3: Factors of 98864

List of positive integer factors of 98864 that divides 98864 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 167, 296, 334, 592, 668, 1336, 2672, 6179, 12358, 24716, 49432

Step-4: Factors of 98876

List of positive integer factors of 98876 that divides 98864 without a remainder.

1, 2, 4, 19, 38, 76, 1301, 2602, 5204, 24719, 49438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98864 and 98876. The biggest common factor number is the GCF number.
So the greatest common factor 98864 and 98876 is 4.

Also check out the Least Common Multiple of 98864 and 98876