What is the Greatest Common Factor of 98643 and 98658?

Greatest common factor (GCF) of 98643 and 98658 is 3.

GCF(98643,98658) = 3

We will now calculate the prime factors of 98643 and 98658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98643 and 98658.

How to find the GCF of 98643 and 98658?

We will first find the prime factorization of 98643 and 98658. After we will calculate the factors of 98643 and 98658 and find the biggest common factor number .

Step-1: Prime Factorization of 98643

Prime factors of 98643 are 3, 131, 251. Prime factorization of 98643 in exponential form is:

98643 = 3¹ × 131¹ × 251¹

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 98643

List of positive integer factors of 98643 that divides 98643 without a remainder.

1, 3, 131, 251, 393, 753, 32881

Step-4: Factors of 98658

List of positive integer factors of 98658 that divides 98643 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 98643 and 98658. The biggest common factor number is the GCF number.
So the greatest common factor 98643 and 98658 is 3.

Also check out the Least Common Multiple of 98643 and 98658