What is the Greatest Common Factor of 98530 and 98536?

Greatest common factor (GCF) of 98530 and 98536 is 2.

GCF(98530,98536) = 2

We will now calculate the prime factors of 98530 and 98536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98530 and 98536.

How to find the GCF of 98530 and 98536?

We will first find the prime factorization of 98530 and 98536. After we will calculate the factors of 98530 and 98536 and find the biggest common factor number .

Step-1: Prime Factorization of 98530

Prime factors of 98530 are 2, 5, 59, 167. Prime factorization of 98530 in exponential form is:

98530 = 2¹ × 5¹ × 59¹ × 167¹

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 98530

List of positive integer factors of 98530 that divides 98530 without a remainder.

1, 2, 5, 10, 59, 118, 167, 295, 334, 590, 835, 1670, 9853, 19706, 49265

Step-4: Factors of 98536

List of positive integer factors of 98536 that divides 98530 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 98530 and 98536. The biggest common factor number is the GCF number.
So the greatest common factor 98530 and 98536 is 2.

Also check out the Least Common Multiple of 98530 and 98536