What is the Greatest Common Factor of 98435 and 98455?

Greatest common factor (GCF) of 98435 and 98455 is 5.

GCF(98435,98455) = 5

We will now calculate the prime factors of 98435 and 98455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98435 and 98455.

How to find the GCF of 98435 and 98455?

We will first find the prime factorization of 98435 and 98455. After we will calculate the factors of 98435 and 98455 and find the biggest common factor number .

Step-1: Prime Factorization of 98435

Prime factors of 98435 are 5, 19687. Prime factorization of 98435 in exponential form is:

98435 = 5¹ × 19687¹

Step-2: Prime Factorization of 98455

Prime factors of 98455 are 5, 7, 29, 97. Prime factorization of 98455 in exponential form is:

98455 = 5¹ × 7¹ × 29¹ × 97¹

Step-3: Factors of 98435

List of positive integer factors of 98435 that divides 98435 without a remainder.

1, 5, 19687

Step-4: Factors of 98455

List of positive integer factors of 98455 that divides 98435 without a remainder.

1, 5, 7, 29, 35, 97, 145, 203, 485, 679, 1015, 2813, 3395, 14065, 19691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98435 and 98455. The biggest common factor number is the GCF number.
So the greatest common factor 98435 and 98455 is 5.

Also check out the Least Common Multiple of 98435 and 98455