What is the Greatest Common Factor of 98860 and 98864?

Greatest common factor (GCF) of 98860 and 98864 is 4.

GCF(98860,98864) = 4

We will now calculate the prime factors of 98860 and 98864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98860 and 98864.

How to find the GCF of 98860 and 98864?

We will first find the prime factorization of 98860 and 98864. After we will calculate the factors of 98860 and 98864 and find the biggest common factor number .

Step-1: Prime Factorization of 98860

Prime factors of 98860 are 2, 5, 4943. Prime factorization of 98860 in exponential form is:

98860 = 2² × 5¹ × 4943¹

Step-2: 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-3: Factors of 98860

List of positive integer factors of 98860 that divides 98860 without a remainder.

1, 2, 4, 5, 10, 20, 4943, 9886, 19772, 24715, 49430

Step-4: Factors of 98864

List of positive integer factors of 98864 that divides 98860 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98860 and 98864. The biggest common factor number is the GCF number.
So the greatest common factor 98860 and 98864 is 4.

Also check out the Least Common Multiple of 98860 and 98864