What is the Greatest Common Factor of 98019 and 98028?

Greatest common factor (GCF) of 98019 and 98028 is 9.

GCF(98019,98028) = 9

We will now calculate the prime factors of 98019 and 98028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98019 and 98028.

How to find the GCF of 98019 and 98028?

We will first find the prime factorization of 98019 and 98028. After we will calculate the factors of 98019 and 98028 and find the biggest common factor number .

Step-1: Prime Factorization of 98019

Prime factors of 98019 are 3, 10891. Prime factorization of 98019 in exponential form is:

98019 = 3² × 10891¹

Step-2: Prime Factorization of 98028

Prime factors of 98028 are 2, 3, 7, 389. Prime factorization of 98028 in exponential form is:

98028 = 2² × 3² × 7¹ × 389¹

Step-3: Factors of 98019

List of positive integer factors of 98019 that divides 98019 without a remainder.

1, 3, 9, 10891, 32673

Step-4: Factors of 98028

List of positive integer factors of 98028 that divides 98019 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 389, 778, 1167, 1556, 2334, 2723, 3501, 4668, 5446, 7002, 8169, 10892, 14004, 16338, 24507, 32676, 49014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98019 and 98028. The biggest common factor number is the GCF number.
So the greatest common factor 98019 and 98028 is 9.

Also check out the Least Common Multiple of 98019 and 98028