What is the Greatest Common Factor of 98020 and 98024?

Greatest common factor (GCF) of 98020 and 98024 is 4.

GCF(98020,98024) = 4

We will now calculate the prime factors of 98020 and 98024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98020 and 98024.

How to find the GCF of 98020 and 98024?

We will first find the prime factorization of 98020 and 98024. After we will calculate the factors of 98020 and 98024 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 98024

Prime factors of 98024 are 2, 12253. Prime factorization of 98024 in exponential form is:

98024 = 2³ × 12253¹

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 98024

List of positive integer factors of 98024 that divides 98020 without a remainder.

1, 2, 4, 8, 12253, 24506, 49012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98020 and 98024. The biggest common factor number is the GCF number.
So the greatest common factor 98020 and 98024 is 4.

Also check out the Least Common Multiple of 98020 and 98024