What is the Greatest Common Factor of 98272 and 98288?

Greatest common factor (GCF) of 98272 and 98288 is 16.

GCF(98272,98288) = 16

We will now calculate the prime factors of 98272 and 98288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98272 and 98288.

How to find the GCF of 98272 and 98288?

We will first find the prime factorization of 98272 and 98288. After we will calculate the factors of 98272 and 98288 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 98288

Prime factors of 98288 are 2, 6143. Prime factorization of 98288 in exponential form is:

98288 = 2⁴ × 6143¹

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 98288

List of positive integer factors of 98288 that divides 98272 without a remainder.

1, 2, 4, 8, 16, 6143, 12286, 24572, 49144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98272 and 98288. The biggest common factor number is the GCF number.
So the greatest common factor 98272 and 98288 is 16.

Also check out the Least Common Multiple of 98272 and 98288