What is the Greatest Common Factor of 98344 and 98349?

Greatest common factor (GCF) of 98344 and 98349 is 1.

GCF(98344,98349) = 1

We will now calculate the prime factors of 98344 and 98349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98344 and 98349.

How to find the GCF of 98344 and 98349?

We will first find the prime factorization of 98344 and 98349. After we will calculate the factors of 98344 and 98349 and find the biggest common factor number .

Step-1: Prime Factorization of 98344

Prime factors of 98344 are 2, 19, 647. Prime factorization of 98344 in exponential form is:

98344 = 2³ × 19¹ × 647¹

Step-2: Prime Factorization of 98349

Prime factors of 98349 are 3, 32783. Prime factorization of 98349 in exponential form is:

98349 = 3¹ × 32783¹

Step-3: Factors of 98344

List of positive integer factors of 98344 that divides 98344 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 647, 1294, 2588, 5176, 12293, 24586, 49172

Step-4: Factors of 98349

List of positive integer factors of 98349 that divides 98344 without a remainder.

1, 3, 32783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98344 and 98349. The biggest common factor number is the GCF number.
So the greatest common factor 98344 and 98349 is 1.

Also check out the Least Common Multiple of 98344 and 98349