What is the Greatest Common Factor of 98448 and 98452?

Greatest common factor (GCF) of 98448 and 98452 is 4.

GCF(98448,98452) = 4

We will now calculate the prime factors of 98448 and 98452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98448 and 98452.

How to find the GCF of 98448 and 98452?

We will first find the prime factorization of 98448 and 98452. After we will calculate the factors of 98448 and 98452 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 98452

Prime factors of 98452 are 2, 151, 163. Prime factorization of 98452 in exponential form is:

98452 = 2² × 151¹ × 163¹

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 98452

List of positive integer factors of 98452 that divides 98448 without a remainder.

1, 2, 4, 151, 163, 302, 326, 604, 652, 24613, 49226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98448 and 98452. The biggest common factor number is the GCF number.
So the greatest common factor 98448 and 98452 is 4.

Also check out the Least Common Multiple of 98448 and 98452