What is the Greatest Common Factor of 98864 and 98883?

Greatest common factor (GCF) of 98864 and 98883 is 1.

GCF(98864,98883) = 1

We will now calculate the prime factors of 98864 and 98883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98864 and 98883.

How to find the GCF of 98864 and 98883?

We will first find the prime factorization of 98864 and 98883. After we will calculate the factors of 98864 and 98883 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 98883

Prime factors of 98883 are 3, 10987. Prime factorization of 98883 in exponential form is:

98883 = 3² × 10987¹

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 98883

List of positive integer factors of 98883 that divides 98864 without a remainder.

1, 3, 9, 10987, 32961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98864 and 98883. The biggest common factor number is the GCF number.
So the greatest common factor 98864 and 98883 is 1.

Also check out the Least Common Multiple of 98864 and 98883