What is the Greatest Common Factor of 98256 and 98268?

Greatest common factor (GCF) of 98256 and 98268 is 12.

GCF(98256,98268) = 12

We will now calculate the prime factors of 98256 and 98268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98256 and 98268.

How to find the GCF of 98256 and 98268?

We will first find the prime factorization of 98256 and 98268. After we will calculate the factors of 98256 and 98268 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 98268

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

98268 = 2² × 3¹ × 19¹ × 431¹

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 98268

List of positive integer factors of 98268 that divides 98256 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98256 and 98268. The biggest common factor number is the GCF number.
So the greatest common factor 98256 and 98268 is 12.

Also check out the Least Common Multiple of 98256 and 98268