What is the Greatest Common Factor of 98425 and 98442?

Greatest common factor (GCF) of 98425 and 98442 is 1.

GCF(98425,98442) = 1

We will now calculate the prime factors of 98425 and 98442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98425 and 98442.

How to find the GCF of 98425 and 98442?

We will first find the prime factorization of 98425 and 98442. After we will calculate the factors of 98425 and 98442 and find the biggest common factor number .

Step-1: Prime Factorization of 98425

Prime factors of 98425 are 5, 31, 127. Prime factorization of 98425 in exponential form is:

98425 = 5² × 31¹ × 127¹

Step-2: Prime Factorization of 98442

Prime factors of 98442 are 2, 3, 1823. Prime factorization of 98442 in exponential form is:

98442 = 2¹ × 3³ × 1823¹

Step-3: Factors of 98425

List of positive integer factors of 98425 that divides 98425 without a remainder.

1, 5, 25, 31, 127, 155, 635, 775, 3175, 3937, 19685

Step-4: Factors of 98442

List of positive integer factors of 98442 that divides 98425 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1823, 3646, 5469, 10938, 16407, 32814, 49221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98425 and 98442. The biggest common factor number is the GCF number.
So the greatest common factor 98425 and 98442 is 1.

Also check out the Least Common Multiple of 98425 and 98442