What is the Greatest Common Factor of 98109 and 98124?

Greatest common factor (GCF) of 98109 and 98124 is 3.

GCF(98109,98124) = 3

We will now calculate the prime factors of 98109 and 98124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98109 and 98124.

How to find the GCF of 98109 and 98124?

We will first find the prime factorization of 98109 and 98124. After we will calculate the factors of 98109 and 98124 and find the biggest common factor number .

Step-1: Prime Factorization of 98109

Prime factors of 98109 are 3, 11, 991. Prime factorization of 98109 in exponential form is:

98109 = 3² × 11¹ × 991¹

Step-2: 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-3: Factors of 98109

List of positive integer factors of 98109 that divides 98109 without a remainder.

1, 3, 9, 11, 33, 99, 991, 2973, 8919, 10901, 32703

Step-4: Factors of 98124

List of positive integer factors of 98124 that divides 98109 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98109 and 98124. The biggest common factor number is the GCF number.
So the greatest common factor 98109 and 98124 is 3.

Also check out the Least Common Multiple of 98109 and 98124