What is the Greatest Common Factor of 98658 and 98665?

Greatest common factor (GCF) of 98658 and 98665 is 7.

GCF(98658,98665) = 7

We will now calculate the prime factors of 98658 and 98665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98658 and 98665.

How to find the GCF of 98658 and 98665?

We will first find the prime factorization of 98658 and 98665. After we will calculate the factors of 98658 and 98665 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98665

Prime factors of 98665 are 5, 7, 2819. Prime factorization of 98665 in exponential form is:

98665 = 5¹ × 7¹ × 2819¹

Step-3: Factors of 98658

List of positive integer factors of 98658 that divides 98658 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

Step-4: Factors of 98665

List of positive integer factors of 98665 that divides 98658 without a remainder.

1, 5, 7, 35, 2819, 14095, 19733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98658 and 98665. The biggest common factor number is the GCF number.
So the greatest common factor 98658 and 98665 is 7.

Also check out the Least Common Multiple of 98658 and 98665