What is the Greatest Common Factor of 98564 and 98576?

Greatest common factor (GCF) of 98564 and 98576 is 4.

GCF(98564,98576) = 4

We will now calculate the prime factors of 98564 and 98576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98564 and 98576.

How to find the GCF of 98564 and 98576?

We will first find the prime factorization of 98564 and 98576. After we will calculate the factors of 98564 and 98576 and find the biggest common factor number .

Step-1: Prime Factorization of 98564

Prime factors of 98564 are 2, 41, 601. Prime factorization of 98564 in exponential form is:

98564 = 2² × 41¹ × 601¹

Step-2: Prime Factorization of 98576

Prime factors of 98576 are 2, 61, 101. Prime factorization of 98576 in exponential form is:

98576 = 2⁴ × 61¹ × 101¹

Step-3: Factors of 98564

List of positive integer factors of 98564 that divides 98564 without a remainder.

1, 2, 4, 41, 82, 164, 601, 1202, 2404, 24641, 49282

Step-4: Factors of 98576

List of positive integer factors of 98576 that divides 98564 without a remainder.

1, 2, 4, 8, 16, 61, 101, 122, 202, 244, 404, 488, 808, 976, 1616, 6161, 12322, 24644, 49288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98564 and 98576. The biggest common factor number is the GCF number.
So the greatest common factor 98564 and 98576 is 4.

Also check out the Least Common Multiple of 98564 and 98576