What is the Greatest Common Factor of 98028 and 98044?

Greatest common factor (GCF) of 98028 and 98044 is 4.

GCF(98028,98044) = 4

We will now calculate the prime factors of 98028 and 98044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98028 and 98044.

How to find the GCF of 98028 and 98044?

We will first find the prime factorization of 98028 and 98044. After we will calculate the factors of 98028 and 98044 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98044

Prime factors of 98044 are 2, 127, 193. Prime factorization of 98044 in exponential form is:

98044 = 2² × 127¹ × 193¹

Step-3: Factors of 98028

List of positive integer factors of 98028 that divides 98028 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

Step-4: Factors of 98044

List of positive integer factors of 98044 that divides 98028 without a remainder.

1, 2, 4, 127, 193, 254, 386, 508, 772, 24511, 49022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98028 and 98044. The biggest common factor number is the GCF number.
So the greatest common factor 98028 and 98044 is 4.

Also check out the Least Common Multiple of 98028 and 98044