What is the Greatest Common Factor of 98238 and 98256?

Greatest common factor (GCF) of 98238 and 98256 is 6.

GCF(98238,98256) = 6

We will now calculate the prime factors of 98238 and 98256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98238 and 98256.

How to find the GCF of 98238 and 98256?

We will first find the prime factorization of 98238 and 98256. After we will calculate the factors of 98238 and 98256 and find the biggest common factor number .

Step-1: Prime Factorization of 98238

Prime factors of 98238 are 2, 3, 7, 2339. Prime factorization of 98238 in exponential form is:

98238 = 2¹ × 3¹ × 7¹ × 2339¹

Step-2: 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-3: Factors of 98238

List of positive integer factors of 98238 that divides 98238 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2339, 4678, 7017, 14034, 16373, 32746, 49119

Step-4: Factors of 98256

List of positive integer factors of 98256 that divides 98238 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98238 and 98256. The biggest common factor number is the GCF number.
So the greatest common factor 98238 and 98256 is 6.

Also check out the Least Common Multiple of 98238 and 98256