What is the Greatest Common Factor of 98724 and 98741?

Greatest common factor (GCF) of 98724 and 98741 is 1.

GCF(98724,98741) = 1

We will now calculate the prime factors of 98724 and 98741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98724 and 98741.

How to find the GCF of 98724 and 98741?

We will first find the prime factorization of 98724 and 98741. After we will calculate the factors of 98724 and 98741 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 98741

Prime factors of 98741 are 293, 337. Prime factorization of 98741 in exponential form is:

98741 = 293¹ × 337¹

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 98741

List of positive integer factors of 98741 that divides 98724 without a remainder.

1, 293, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98724 and 98741. The biggest common factor number is the GCF number.
So the greatest common factor 98724 and 98741 is 1.

Also check out the Least Common Multiple of 98724 and 98741