What is the Greatest Common Factor of 98640 and 98658?

Greatest common factor (GCF) of 98640 and 98658 is 18.

GCF(98640,98658) = 18

We will now calculate the prime factors of 98640 and 98658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98640 and 98658.

How to find the GCF of 98640 and 98658?

We will first find the prime factorization of 98640 and 98658. After we will calculate the factors of 98640 and 98658 and find the biggest common factor number .

Step-1: Prime Factorization of 98640

Prime factors of 98640 are 2, 3, 5, 137. Prime factorization of 98640 in exponential form is:

98640 = 2⁴ × 3² × 5¹ × 137¹

Step-2: Prime Factorization of 98658

Prime factors of 98658 are 2, 3, 7, 29. Prime factorization of 98658 in exponential form is:

98658 = 2¹ × 3⁵ × 7¹ × 29¹

Step-3: Factors of 98640

List of positive integer factors of 98640 that divides 98640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 137, 144, 180, 240, 274, 360, 411, 548, 685, 720, 822, 1096, 1233, 1370, 1644, 2055, 2192, 2466, 2740, 3288, 4110, 4932, 5480, 6165, 6576, 8220, 9864, 10960, 12330, 16440, 19728, 24660, 32880, 49320

Step-4: Factors of 98658

List of positive integer factors of 98658 that divides 98640 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 29, 42, 54, 58, 63, 81, 87, 126, 162, 174, 189, 203, 243, 261, 378, 406, 486, 522, 567, 609, 783, 1134, 1218, 1566, 1701, 1827, 2349, 3402, 3654, 4698, 5481, 7047, 10962, 14094, 16443, 32886, 49329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98640 and 98658. The biggest common factor number is the GCF number.
So the greatest common factor 98640 and 98658 is 18.

Also check out the Least Common Multiple of 98640 and 98658