What is the Greatest Common Factor of 89802 and 89817?

Greatest common factor (GCF) of 89802 and 89817 is 3.

GCF(89802,89817) = 3

We will now calculate the prime factors of 89802 and 89817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89802 and 89817.

How to find the GCF of 89802 and 89817?

We will first find the prime factorization of 89802 and 89817. After we will calculate the factors of 89802 and 89817 and find the biggest common factor number .

Step-1: Prime Factorization of 89802

Prime factors of 89802 are 2, 3, 1663. Prime factorization of 89802 in exponential form is:

89802 = 2¹ × 3³ × 1663¹

Step-2: Prime Factorization of 89817

Prime factors of 89817 are 3, 7, 13, 47. Prime factorization of 89817 in exponential form is:

89817 = 3¹ × 7² × 13¹ × 47¹

Step-3: Factors of 89802

List of positive integer factors of 89802 that divides 89802 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1663, 3326, 4989, 9978, 14967, 29934, 44901

Step-4: Factors of 89817

List of positive integer factors of 89817 that divides 89802 without a remainder.

1, 3, 7, 13, 21, 39, 47, 49, 91, 141, 147, 273, 329, 611, 637, 987, 1833, 1911, 2303, 4277, 6909, 12831, 29939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89802 and 89817. The biggest common factor number is the GCF number.
So the greatest common factor 89802 and 89817 is 3.

Also check out the Least Common Multiple of 89802 and 89817