What is the Greatest Common Factor of 98846 and 98857?

Greatest common factor (GCF) of 98846 and 98857 is 11.

GCF(98846,98857) = 11

We will now calculate the prime factors of 98846 and 98857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98846 and 98857.

How to find the GCF of 98846 and 98857?

We will first find the prime factorization of 98846 and 98857. After we will calculate the factors of 98846 and 98857 and find the biggest common factor number .

Step-1: Prime Factorization of 98846

Prime factors of 98846 are 2, 11, 4493. Prime factorization of 98846 in exponential form is:

98846 = 2¹ × 11¹ × 4493¹

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 98846

List of positive integer factors of 98846 that divides 98846 without a remainder.

1, 2, 11, 22, 4493, 8986, 49423

Step-4: Factors of 98857

List of positive integer factors of 98857 that divides 98846 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 98846 and 98857. The biggest common factor number is the GCF number.
So the greatest common factor 98846 and 98857 is 11.

Also check out the Least Common Multiple of 98846 and 98857