What is the Greatest Common Factor of 98020 and 98028?

Greatest common factor (GCF) of 98020 and 98028 is 4.

GCF(98020,98028) = 4

We will now calculate the prime factors of 98020 and 98028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98020 and 98028.

How to find the GCF of 98020 and 98028?

We will first find the prime factorization of 98020 and 98028. After we will calculate the factors of 98020 and 98028 and find the biggest common factor number .

Step-1: Prime Factorization of 98020

Prime factors of 98020 are 2, 5, 13, 29. Prime factorization of 98020 in exponential form is:

98020 = 2² × 5¹ × 13² × 29¹

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 98020

List of positive integer factors of 98020 that divides 98020 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 29, 52, 58, 65, 116, 130, 145, 169, 260, 290, 338, 377, 580, 676, 754, 845, 1508, 1690, 1885, 3380, 3770, 4901, 7540, 9802, 19604, 24505, 49010

Step-4: Factors of 98028

List of positive integer factors of 98028 that divides 98020 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 98020 and 98028. The biggest common factor number is the GCF number.
So the greatest common factor 98020 and 98028 is 4.

Also check out the Least Common Multiple of 98020 and 98028