What is the Greatest Common Factor of 98528 and 98536?

Greatest common factor (GCF) of 98528 and 98536 is 8.

GCF(98528,98536) = 8

We will now calculate the prime factors of 98528 and 98536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98528 and 98536.

How to find the GCF of 98528 and 98536?

We will first find the prime factorization of 98528 and 98536. After we will calculate the factors of 98528 and 98536 and find the biggest common factor number .

Step-1: Prime Factorization of 98528

Prime factors of 98528 are 2, 3079. Prime factorization of 98528 in exponential form is:

98528 = 2⁵ × 3079¹

Step-2: Prime Factorization of 98536

Prime factors of 98536 are 2, 109, 113. Prime factorization of 98536 in exponential form is:

98536 = 2³ × 109¹ × 113¹

Step-3: Factors of 98528

List of positive integer factors of 98528 that divides 98528 without a remainder.

1, 2, 4, 8, 16, 32, 3079, 6158, 12316, 24632, 49264

Step-4: Factors of 98536

List of positive integer factors of 98536 that divides 98528 without a remainder.

1, 2, 4, 8, 109, 113, 218, 226, 436, 452, 872, 904, 12317, 24634, 49268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98528 and 98536. The biggest common factor number is the GCF number.
So the greatest common factor 98528 and 98536 is 8.

Also check out the Least Common Multiple of 98528 and 98536