What is the Greatest Common Factor of 98272 and 98282?

Greatest common factor (GCF) of 98272 and 98282 is 2.

GCF(98272,98282) = 2

We will now calculate the prime factors of 98272 and 98282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98272 and 98282.

How to find the GCF of 98272 and 98282?

We will first find the prime factorization of 98272 and 98282. After we will calculate the factors of 98272 and 98282 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 98282

Prime factors of 98282 are 2, 157, 313. Prime factorization of 98282 in exponential form is:

98282 = 2¹ × 157¹ × 313¹

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 98282

List of positive integer factors of 98282 that divides 98272 without a remainder.

1, 2, 157, 313, 314, 626, 49141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98272 and 98282. The biggest common factor number is the GCF number.
So the greatest common factor 98272 and 98282 is 2.

Also check out the Least Common Multiple of 98272 and 98282