What is the Greatest Common Factor of 98685 and 98702?

Greatest common factor (GCF) of 98685 and 98702 is 17.

GCF(98685,98702) = 17

We will now calculate the prime factors of 98685 and 98702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98685 and 98702.

How to find the GCF of 98685 and 98702?

We will first find the prime factorization of 98685 and 98702. After we will calculate the factors of 98685 and 98702 and find the biggest common factor number .

Step-1: Prime Factorization of 98685

Prime factors of 98685 are 3, 5, 17, 43. Prime factorization of 98685 in exponential form is:

98685 = 3³ × 5¹ × 17¹ × 43¹

Step-2: Prime Factorization of 98702

Prime factors of 98702 are 2, 17, 2903. Prime factorization of 98702 in exponential form is:

98702 = 2¹ × 17¹ × 2903¹

Step-3: Factors of 98685

List of positive integer factors of 98685 that divides 98685 without a remainder.

1, 3, 5, 9, 15, 17, 27, 43, 45, 51, 85, 129, 135, 153, 215, 255, 387, 459, 645, 731, 765, 1161, 1935, 2193, 2295, 3655, 5805, 6579, 10965, 19737, 32895

Step-4: Factors of 98702

List of positive integer factors of 98702 that divides 98685 without a remainder.

1, 2, 17, 34, 2903, 5806, 49351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98685 and 98702. The biggest common factor number is the GCF number.
So the greatest common factor 98685 and 98702 is 17.

Also check out the Least Common Multiple of 98685 and 98702