What is the Greatest Common Factor of 98124 and 98138?

Greatest common factor (GCF) of 98124 and 98138 is 2.

GCF(98124,98138) = 2

We will now calculate the prime factors of 98124 and 98138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98124 and 98138.

How to find the GCF of 98124 and 98138?

We will first find the prime factorization of 98124 and 98138. After we will calculate the factors of 98124 and 98138 and find the biggest common factor number .

Step-1: Prime Factorization of 98124

Prime factors of 98124 are 2, 3, 13, 17, 37. Prime factorization of 98124 in exponential form is:

98124 = 2² × 3¹ × 13¹ × 17¹ × 37¹

Step-2: Prime Factorization of 98138

Prime factors of 98138 are 2, 49069. Prime factorization of 98138 in exponential form is:

98138 = 2¹ × 49069¹

Step-3: Factors of 98124

List of positive integer factors of 98124 that divides 98124 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 37, 39, 51, 52, 68, 74, 78, 102, 111, 148, 156, 204, 221, 222, 442, 444, 481, 629, 663, 884, 962, 1258, 1326, 1443, 1887, 1924, 2516, 2652, 2886, 3774, 5772, 7548, 8177, 16354, 24531, 32708, 49062

Step-4: Factors of 98138

List of positive integer factors of 98138 that divides 98124 without a remainder.

1, 2, 49069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98124 and 98138. The biggest common factor number is the GCF number.
So the greatest common factor 98124 and 98138 is 2.

Also check out the Least Common Multiple of 98124 and 98138