What is the Greatest Common Factor of 98240 and 98256?

Greatest common factor (GCF) of 98240 and 98256 is 16.

GCF(98240,98256) = 16

We will now calculate the prime factors of 98240 and 98256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98240 and 98256.

How to find the GCF of 98240 and 98256?

We will first find the prime factorization of 98240 and 98256. After we will calculate the factors of 98240 and 98256 and find the biggest common factor number .

Step-1: Prime Factorization of 98240

Prime factors of 98240 are 2, 5, 307. Prime factorization of 98240 in exponential form is:

98240 = 2⁶ × 5¹ × 307¹

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 98240

List of positive integer factors of 98240 that divides 98240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 307, 320, 614, 1228, 1535, 2456, 3070, 4912, 6140, 9824, 12280, 19648, 24560, 49120

Step-4: Factors of 98256

List of positive integer factors of 98256 that divides 98240 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 98240 and 98256. The biggest common factor number is the GCF number.
So the greatest common factor 98240 and 98256 is 16.

Also check out the Least Common Multiple of 98240 and 98256