What is the Greatest Common Factor of 98348 and 98352?

Greatest common factor (GCF) of 98348 and 98352 is 4.

GCF(98348,98352) = 4

We will now calculate the prime factors of 98348 and 98352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98348 and 98352.

How to find the GCF of 98348 and 98352?

We will first find the prime factorization of 98348 and 98352. After we will calculate the factors of 98348 and 98352 and find the biggest common factor number .

Step-1: Prime Factorization of 98348

Prime factors of 98348 are 2, 23, 1069. Prime factorization of 98348 in exponential form is:

98348 = 2² × 23¹ × 1069¹

Step-2: Prime Factorization of 98352

Prime factors of 98352 are 2, 3, 683. Prime factorization of 98352 in exponential form is:

98352 = 2⁴ × 3² × 683¹

Step-3: Factors of 98348

List of positive integer factors of 98348 that divides 98348 without a remainder.

1, 2, 4, 23, 46, 92, 1069, 2138, 4276, 24587, 49174

Step-4: Factors of 98352

List of positive integer factors of 98352 that divides 98348 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 683, 1366, 2049, 2732, 4098, 5464, 6147, 8196, 10928, 12294, 16392, 24588, 32784, 49176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98348 and 98352. The biggest common factor number is the GCF number.
So the greatest common factor 98348 and 98352 is 4.

Also check out the Least Common Multiple of 98348 and 98352