What is the Greatest Common Factor of 98645 and 98650?

Greatest common factor (GCF) of 98645 and 98650 is 5.

GCF(98645,98650) = 5

We will now calculate the prime factors of 98645 and 98650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98645 and 98650.

How to find the GCF of 98645 and 98650?

We will first find the prime factorization of 98645 and 98650. After we will calculate the factors of 98645 and 98650 and find the biggest common factor number .

Step-1: Prime Factorization of 98645

Prime factors of 98645 are 5, 109, 181. Prime factorization of 98645 in exponential form is:

98645 = 5¹ × 109¹ × 181¹

Step-2: Prime Factorization of 98650

Prime factors of 98650 are 2, 5, 1973. Prime factorization of 98650 in exponential form is:

98650 = 2¹ × 5² × 1973¹

Step-3: Factors of 98645

List of positive integer factors of 98645 that divides 98645 without a remainder.

1, 5, 109, 181, 545, 905, 19729

Step-4: Factors of 98650

List of positive integer factors of 98650 that divides 98645 without a remainder.

1, 2, 5, 10, 25, 50, 1973, 3946, 9865, 19730, 49325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98645 and 98650. The biggest common factor number is the GCF number.
So the greatest common factor 98645 and 98650 is 5.

Also check out the Least Common Multiple of 98645 and 98650