What is the Greatest Common Factor of 98830 and 98850?

Greatest common factor (GCF) of 98830 and 98850 is 10.

GCF(98830,98850) = 10

We will now calculate the prime factors of 98830 and 98850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98830 and 98850.

How to find the GCF of 98830 and 98850?

We will first find the prime factorization of 98830 and 98850. After we will calculate the factors of 98830 and 98850 and find the biggest common factor number .

Step-1: Prime Factorization of 98830

Prime factors of 98830 are 2, 5, 9883. Prime factorization of 98830 in exponential form is:

98830 = 2¹ × 5¹ × 9883¹

Step-2: Prime Factorization of 98850

Prime factors of 98850 are 2, 3, 5, 659. Prime factorization of 98850 in exponential form is:

98850 = 2¹ × 3¹ × 5² × 659¹

Step-3: Factors of 98830

List of positive integer factors of 98830 that divides 98830 without a remainder.

1, 2, 5, 10, 9883, 19766, 49415

Step-4: Factors of 98850

List of positive integer factors of 98850 that divides 98830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 659, 1318, 1977, 3295, 3954, 6590, 9885, 16475, 19770, 32950, 49425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98830 and 98850. The biggest common factor number is the GCF number.
So the greatest common factor 98830 and 98850 is 10.

Also check out the Least Common Multiple of 98830 and 98850