What is the Greatest Common Factor of 98146 and 98153?

Greatest common factor (GCF) of 98146 and 98153 is 1.

GCF(98146,98153) = 1

We will now calculate the prime factors of 98146 and 98153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98146 and 98153.

How to find the GCF of 98146 and 98153?

We will first find the prime factorization of 98146 and 98153. After we will calculate the factors of 98146 and 98153 and find the biggest common factor number .

Step-1: Prime Factorization of 98146

Prime factors of 98146 are 2, 31, 1583. Prime factorization of 98146 in exponential form is:

98146 = 2¹ × 31¹ × 1583¹

Step-2: Prime Factorization of 98153

Prime factors of 98153 are 11, 8923. Prime factorization of 98153 in exponential form is:

98153 = 11¹ × 8923¹

Step-3: Factors of 98146

List of positive integer factors of 98146 that divides 98146 without a remainder.

1, 2, 31, 62, 1583, 3166, 49073

Step-4: Factors of 98153

List of positive integer factors of 98153 that divides 98146 without a remainder.

1, 11, 8923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98146 and 98153. The biggest common factor number is the GCF number.
So the greatest common factor 98146 and 98153 is 1.

Also check out the Least Common Multiple of 98146 and 98153