What is the Greatest Common Factor of 98256 and 98271?

Greatest common factor (GCF) of 98256 and 98271 is 3.

GCF(98256,98271) = 3

We will now calculate the prime factors of 98256 and 98271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98256 and 98271.

How to find the GCF of 98256 and 98271?

We will first find the prime factorization of 98256 and 98271. After we will calculate the factors of 98256 and 98271 and find the biggest common factor number .

Step-1: Prime Factorization of 98256

Prime factors of 98256 are 2, 3, 23, 89. Prime factorization of 98256 in exponential form is:

98256 = 2⁴ × 3¹ × 23¹ × 89¹

Step-2: Prime Factorization of 98271

Prime factors of 98271 are 3, 61, 179. Prime factorization of 98271 in exponential form is:

98271 = 3² × 61¹ × 179¹

Step-3: Factors of 98256

List of positive integer factors of 98256 that divides 98256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 89, 92, 138, 178, 184, 267, 276, 356, 368, 534, 552, 712, 1068, 1104, 1424, 2047, 2136, 4094, 4272, 6141, 8188, 12282, 16376, 24564, 32752, 49128

Step-4: Factors of 98271

List of positive integer factors of 98271 that divides 98256 without a remainder.

1, 3, 9, 61, 179, 183, 537, 549, 1611, 10919, 32757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98256 and 98271. The biggest common factor number is the GCF number.
So the greatest common factor 98256 and 98271 is 3.

Also check out the Least Common Multiple of 98256 and 98271