What is the Greatest Common Factor of 98096 and 98112?

Greatest common factor (GCF) of 98096 and 98112 is 16.

GCF(98096,98112) = 16

We will now calculate the prime factors of 98096 and 98112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98096 and 98112.

How to find the GCF of 98096 and 98112?

We will first find the prime factorization of 98096 and 98112. After we will calculate the factors of 98096 and 98112 and find the biggest common factor number .

Step-1: Prime Factorization of 98096

Prime factors of 98096 are 2, 6131. Prime factorization of 98096 in exponential form is:

98096 = 2⁴ × 6131¹

Step-2: Prime Factorization of 98112

Prime factors of 98112 are 2, 3, 7, 73. Prime factorization of 98112 in exponential form is:

98112 = 2⁶ × 3¹ × 7¹ × 73¹

Step-3: Factors of 98096

List of positive integer factors of 98096 that divides 98096 without a remainder.

1, 2, 4, 8, 16, 6131, 12262, 24524, 49048

Step-4: Factors of 98112

List of positive integer factors of 98112 that divides 98096 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 73, 84, 96, 112, 146, 168, 192, 219, 224, 292, 336, 438, 448, 511, 584, 672, 876, 1022, 1168, 1344, 1533, 1752, 2044, 2336, 3066, 3504, 4088, 4672, 6132, 7008, 8176, 12264, 14016, 16352, 24528, 32704, 49056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98096 and 98112. The biggest common factor number is the GCF number.
So the greatest common factor 98096 and 98112 is 16.

Also check out the Least Common Multiple of 98096 and 98112