What is the Greatest Common Factor of 98850 and 98855?

Greatest common factor (GCF) of 98850 and 98855 is 5.

GCF(98850,98855) = 5

We will now calculate the prime factors of 98850 and 98855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98850 and 98855.

How to find the GCF of 98850 and 98855?

We will first find the prime factorization of 98850 and 98855. After we will calculate the factors of 98850 and 98855 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98855

Prime factors of 98855 are 5, 17, 1163. Prime factorization of 98855 in exponential form is:

98855 = 5¹ × 17¹ × 1163¹

Step-3: Factors of 98850

List of positive integer factors of 98850 that divides 98850 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

Step-4: Factors of 98855

List of positive integer factors of 98855 that divides 98850 without a remainder.

1, 5, 17, 85, 1163, 5815, 19771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98850 and 98855. The biggest common factor number is the GCF number.
So the greatest common factor 98850 and 98855 is 5.

Also check out the Least Common Multiple of 98850 and 98855