What is the Greatest Common Factor of 98352 and 98371?

Greatest common factor (GCF) of 98352 and 98371 is 1.

GCF(98352,98371) = 1

We will now calculate the prime factors of 98352 and 98371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98352 and 98371.

How to find the GCF of 98352 and 98371?

We will first find the prime factorization of 98352 and 98371. After we will calculate the factors of 98352 and 98371 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98371

Prime factors of 98371 are 7, 13, 23, 47. Prime factorization of 98371 in exponential form is:

98371 = 7¹ × 13¹ × 23¹ × 47¹

Step-3: Factors of 98352

List of positive integer factors of 98352 that divides 98352 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

Step-4: Factors of 98371

List of positive integer factors of 98371 that divides 98352 without a remainder.

1, 7, 13, 23, 47, 91, 161, 299, 329, 611, 1081, 2093, 4277, 7567, 14053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98352 and 98371. The biggest common factor number is the GCF number.
So the greatest common factor 98352 and 98371 is 1.

Also check out the Least Common Multiple of 98352 and 98371