What is the Greatest Common Factor of 98176 and 98185?

Greatest common factor (GCF) of 98176 and 98185 is 1.

GCF(98176,98185) = 1

We will now calculate the prime factors of 98176 and 98185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98176 and 98185.

How to find the GCF of 98176 and 98185?

We will first find the prime factorization of 98176 and 98185. After we will calculate the factors of 98176 and 98185 and find the biggest common factor number .

Step-1: Prime Factorization of 98176

Prime factors of 98176 are 2, 13, 59. Prime factorization of 98176 in exponential form is:

98176 = 2⁷ × 13¹ × 59¹

Step-2: Prime Factorization of 98185

Prime factors of 98185 are 5, 73, 269. Prime factorization of 98185 in exponential form is:

98185 = 5¹ × 73¹ × 269¹

Step-3: Factors of 98176

List of positive integer factors of 98176 that divides 98176 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 59, 64, 104, 118, 128, 208, 236, 416, 472, 767, 832, 944, 1534, 1664, 1888, 3068, 3776, 6136, 7552, 12272, 24544, 49088

Step-4: Factors of 98185

List of positive integer factors of 98185 that divides 98176 without a remainder.

1, 5, 73, 269, 365, 1345, 19637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98176 and 98185. The biggest common factor number is the GCF number.
So the greatest common factor 98176 and 98185 is 1.

Also check out the Least Common Multiple of 98176 and 98185