What is the Greatest Common Factor of 98268 and 98272?

Greatest common factor (GCF) of 98268 and 98272 is 4.

GCF(98268,98272) = 4

We will now calculate the prime factors of 98268 and 98272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98268 and 98272.

How to find the GCF of 98268 and 98272?

We will first find the prime factorization of 98268 and 98272. After we will calculate the factors of 98268 and 98272 and find the biggest common factor number .

Step-1: Prime Factorization of 98268

Prime factors of 98268 are 2, 3, 19, 431. Prime factorization of 98268 in exponential form is:

98268 = 2² × 3¹ × 19¹ × 431¹

Step-2: 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-3: Factors of 98268

List of positive integer factors of 98268 that divides 98268 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 431, 862, 1293, 1724, 2586, 5172, 8189, 16378, 24567, 32756, 49134

Step-4: Factors of 98272

List of positive integer factors of 98272 that divides 98268 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98268 and 98272. The biggest common factor number is the GCF number.
So the greatest common factor 98268 and 98272 is 4.

Also check out the Least Common Multiple of 98268 and 98272