What is the Greatest Common Factor of 98448 and 98460?

Greatest common factor (GCF) of 98448 and 98460 is 12.

GCF(98448,98460) = 12

We will now calculate the prime factors of 98448 and 98460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98448 and 98460.

How to find the GCF of 98448 and 98460?

We will first find the prime factorization of 98448 and 98460. After we will calculate the factors of 98448 and 98460 and find the biggest common factor number .

Step-1: Prime Factorization of 98448

Prime factors of 98448 are 2, 3, 7, 293. Prime factorization of 98448 in exponential form is:

98448 = 2⁴ × 3¹ × 7¹ × 293¹

Step-2: Prime Factorization of 98460

Prime factors of 98460 are 2, 3, 5, 547. Prime factorization of 98460 in exponential form is:

98460 = 2² × 3² × 5¹ × 547¹

Step-3: Factors of 98448

List of positive integer factors of 98448 that divides 98448 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 293, 336, 586, 879, 1172, 1758, 2051, 2344, 3516, 4102, 4688, 6153, 7032, 8204, 12306, 14064, 16408, 24612, 32816, 49224

Step-4: Factors of 98460

List of positive integer factors of 98460 that divides 98448 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 547, 1094, 1641, 2188, 2735, 3282, 4923, 5470, 6564, 8205, 9846, 10940, 16410, 19692, 24615, 32820, 49230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98448 and 98460. The biggest common factor number is the GCF number.
So the greatest common factor 98448 and 98460 is 12.

Also check out the Least Common Multiple of 98448 and 98460