What is the Greatest Common Factor of 98272 and 98281?

Greatest common factor (GCF) of 98272 and 98281 is 1.

GCF(98272,98281) = 1

We will now calculate the prime factors of 98272 and 98281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98272 and 98281.

How to find the GCF of 98272 and 98281?

We will first find the prime factorization of 98272 and 98281. After we will calculate the factors of 98272 and 98281 and find the biggest common factor number .

Step-1: Prime Factorization of 98272

Prime factors of 98272 are 2, 37, 83. Prime factorization of 98272 in exponential form is:

98272 = 2⁵ × 37¹ × 83¹

Step-2: Prime Factorization of 98281

Prime factors of 98281 are 29, 3389. Prime factorization of 98281 in exponential form is:

98281 = 29¹ × 3389¹

Step-3: Factors of 98272

List of positive integer factors of 98272 that divides 98272 without a remainder.

1, 2, 4, 8, 16, 32, 37, 74, 83, 148, 166, 296, 332, 592, 664, 1184, 1328, 2656, 3071, 6142, 12284, 24568, 49136

Step-4: Factors of 98281

List of positive integer factors of 98281 that divides 98272 without a remainder.

1, 29, 3389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98272 and 98281. The biggest common factor number is the GCF number.
So the greatest common factor 98272 and 98281 is 1.

Also check out the Least Common Multiple of 98272 and 98281