What is the Greatest Common Factor of 98862 and 98871?

Greatest common factor (GCF) of 98862 and 98871 is 3.

GCF(98862,98871) = 3

We will now calculate the prime factors of 98862 and 98871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98862 and 98871.

How to find the GCF of 98862 and 98871?

We will first find the prime factorization of 98862 and 98871. After we will calculate the factors of 98862 and 98871 and find the biggest common factor number .

Step-1: Prime Factorization of 98862

Prime factors of 98862 are 2, 3, 16477. Prime factorization of 98862 in exponential form is:

98862 = 2¹ × 3¹ × 16477¹

Step-2: Prime Factorization of 98871

Prime factors of 98871 are 3, 32957. Prime factorization of 98871 in exponential form is:

98871 = 3¹ × 32957¹

Step-3: Factors of 98862

List of positive integer factors of 98862 that divides 98862 without a remainder.

1, 2, 3, 6, 16477, 32954, 49431

Step-4: Factors of 98871

List of positive integer factors of 98871 that divides 98862 without a remainder.

1, 3, 32957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98862 and 98871. The biggest common factor number is the GCF number.
So the greatest common factor 98862 and 98871 is 3.

Also check out the Least Common Multiple of 98862 and 98871