What is the Greatest Common Factor of 98724 and 98744?

Greatest common factor (GCF) of 98724 and 98744 is 4.

GCF(98724,98744) = 4

We will now calculate the prime factors of 98724 and 98744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98724 and 98744.

How to find the GCF of 98724 and 98744?

We will first find the prime factorization of 98724 and 98744. After we will calculate the factors of 98724 and 98744 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98744

Prime factors of 98744 are 2, 12343. Prime factorization of 98744 in exponential form is:

98744 = 2³ × 12343¹

Step-3: Factors of 98724

List of positive integer factors of 98724 that divides 98724 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

Step-4: Factors of 98744

List of positive integer factors of 98744 that divides 98724 without a remainder.

1, 2, 4, 8, 12343, 24686, 49372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98724 and 98744. The biggest common factor number is the GCF number.
So the greatest common factor 98724 and 98744 is 4.

Also check out the Least Common Multiple of 98724 and 98744