What is the Greatest Common Factor of 98850 and 98857?

Greatest common factor (GCF) of 98850 and 98857 is 1.

GCF(98850,98857) = 1

We will now calculate the prime factors of 98850 and 98857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98850 and 98857.

How to find the GCF of 98850 and 98857?

We will first find the prime factorization of 98850 and 98857. After we will calculate the factors of 98850 and 98857 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 98857

Prime factors of 98857 are 11, 19, 43. Prime factorization of 98857 in exponential form is:

98857 = 11² × 19¹ × 43¹

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 98857

List of positive integer factors of 98857 that divides 98850 without a remainder.

1, 11, 19, 43, 121, 209, 473, 817, 2299, 5203, 8987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98850 and 98857. The biggest common factor number is the GCF number.
So the greatest common factor 98850 and 98857 is 1.

Also check out the Least Common Multiple of 98850 and 98857