What is the Greatest Common Factor of 89829 and 89846?

Greatest common factor (GCF) of 89829 and 89846 is 1.

GCF(89829,89846) = 1

We will now calculate the prime factors of 89829 and 89846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89829 and 89846.

How to find the GCF of 89829 and 89846?

We will first find the prime factorization of 89829 and 89846. After we will calculate the factors of 89829 and 89846 and find the biggest common factor number .

Step-1: Prime Factorization of 89829

Prime factors of 89829 are 3, 1109. Prime factorization of 89829 in exponential form is:

89829 = 3⁴ × 1109¹

Step-2: Prime Factorization of 89846

Prime factors of 89846 are 2, 167, 269. Prime factorization of 89846 in exponential form is:

89846 = 2¹ × 167¹ × 269¹

Step-3: Factors of 89829

List of positive integer factors of 89829 that divides 89829 without a remainder.

1, 3, 9, 27, 81, 1109, 3327, 9981, 29943

Step-4: Factors of 89846

List of positive integer factors of 89846 that divides 89829 without a remainder.

1, 2, 167, 269, 334, 538, 44923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89829 and 89846. The biggest common factor number is the GCF number.
So the greatest common factor 89829 and 89846 is 1.

Also check out the Least Common Multiple of 89829 and 89846