What is the Greatest Common Factor of 98020 and 98034?

Greatest common factor (GCF) of 98020 and 98034 is 2.

GCF(98020,98034) = 2

We will now calculate the prime factors of 98020 and 98034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98020 and 98034.

How to find the GCF of 98020 and 98034?

We will first find the prime factorization of 98020 and 98034. After we will calculate the factors of 98020 and 98034 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 98034

Prime factors of 98034 are 2, 3, 16339. Prime factorization of 98034 in exponential form is:

98034 = 2¹ × 3¹ × 16339¹

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 98034

List of positive integer factors of 98034 that divides 98020 without a remainder.

1, 2, 3, 6, 16339, 32678, 49017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98020 and 98034. The biggest common factor number is the GCF number.
So the greatest common factor 98020 and 98034 is 2.

Also check out the Least Common Multiple of 98020 and 98034