What is the Greatest Common Factor of 98704 and 98724?

Greatest common factor (GCF) of 98704 and 98724 is 4.

GCF(98704,98724) = 4

We will now calculate the prime factors of 98704 and 98724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98704 and 98724.

How to find the GCF of 98704 and 98724?

We will first find the prime factorization of 98704 and 98724. After we will calculate the factors of 98704 and 98724 and find the biggest common factor number .

Step-1: Prime Factorization of 98704

Prime factors of 98704 are 2, 31, 199. Prime factorization of 98704 in exponential form is:

98704 = 2⁴ × 31¹ × 199¹

Step-2: Prime Factorization of 98724

Prime factors of 98724 are 2, 3, 19, 433. Prime factorization of 98724 in exponential form is:

98724 = 2² × 3¹ × 19¹ × 433¹

Step-3: Factors of 98704

List of positive integer factors of 98704 that divides 98704 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 199, 248, 398, 496, 796, 1592, 3184, 6169, 12338, 24676, 49352

Step-4: Factors of 98724

List of positive integer factors of 98724 that divides 98704 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 433, 866, 1299, 1732, 2598, 5196, 8227, 16454, 24681, 32908, 49362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98704 and 98724. The biggest common factor number is the GCF number.
So the greatest common factor 98704 and 98724 is 4.

Also check out the Least Common Multiple of 98704 and 98724