What is the Greatest Common Factor of 98705 and 98724?

Greatest common factor (GCF) of 98705 and 98724 is 19.

GCF(98705,98724) = 19

We will now calculate the prime factors of 98705 and 98724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98705 and 98724.

How to find the GCF of 98705 and 98724?

We will first find the prime factorization of 98705 and 98724. After we will calculate the factors of 98705 and 98724 and find the biggest common factor number .

Step-1: Prime Factorization of 98705

Prime factors of 98705 are 5, 19, 1039. Prime factorization of 98705 in exponential form is:

98705 = 5¹ × 19¹ × 1039¹

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 98705

List of positive integer factors of 98705 that divides 98705 without a remainder.

1, 5, 19, 95, 1039, 5195, 19741

Step-4: Factors of 98724

List of positive integer factors of 98724 that divides 98705 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 98705 and 98724. The biggest common factor number is the GCF number.
So the greatest common factor 98705 and 98724 is 19.

Also check out the Least Common Multiple of 98705 and 98724