What is the Greatest Common Factor of 98649 and 98658?

Greatest common factor (GCF) of 98649 and 98658 is 9.

GCF(98649,98658) = 9

We will now calculate the prime factors of 98649 and 98658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98649 and 98658.

How to find the GCF of 98649 and 98658?

We will first find the prime factorization of 98649 and 98658. After we will calculate the factors of 98649 and 98658 and find the biggest common factor number .

Step-1: Prime Factorization of 98649

Prime factors of 98649 are 3, 97, 113. Prime factorization of 98649 in exponential form is:

98649 = 3² × 97¹ × 113¹

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 98649

List of positive integer factors of 98649 that divides 98649 without a remainder.

1, 3, 9, 97, 113, 291, 339, 873, 1017, 10961, 32883

Step-4: Factors of 98658

List of positive integer factors of 98658 that divides 98649 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 98649 and 98658. The biggest common factor number is the GCF number.
So the greatest common factor 98649 and 98658 is 9.

Also check out the Least Common Multiple of 98649 and 98658