What is the Greatest Common Factor of 98124 and 98128?

Greatest common factor (GCF) of 98124 and 98128 is 4.

GCF(98124,98128) = 4

We will now calculate the prime factors of 98124 and 98128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98124 and 98128.

How to find the GCF of 98124 and 98128?

We will first find the prime factorization of 98124 and 98128. After we will calculate the factors of 98124 and 98128 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 98128

Prime factors of 98128 are 2, 6133. Prime factorization of 98128 in exponential form is:

98128 = 2⁴ × 6133¹

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 98128

List of positive integer factors of 98128 that divides 98124 without a remainder.

1, 2, 4, 8, 16, 6133, 12266, 24532, 49064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98124 and 98128. The biggest common factor number is the GCF number.
So the greatest common factor 98124 and 98128 is 4.

Also check out the Least Common Multiple of 98124 and 98128