What is the Greatest Common Factor of 98658 and 98674?

Greatest common factor (GCF) of 98658 and 98674 is 2.

GCF(98658,98674) = 2

We will now calculate the prime factors of 98658 and 98674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98658 and 98674.

How to find the GCF of 98658 and 98674?

We will first find the prime factorization of 98658 and 98674. After we will calculate the factors of 98658 and 98674 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 98674

Prime factors of 98674 are 2, 103, 479. Prime factorization of 98674 in exponential form is:

98674 = 2¹ × 103¹ × 479¹

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 98674

List of positive integer factors of 98674 that divides 98658 without a remainder.

1, 2, 103, 206, 479, 958, 49337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98658 and 98674. The biggest common factor number is the GCF number.
So the greatest common factor 98658 and 98674 is 2.

Also check out the Least Common Multiple of 98658 and 98674