What is the Greatest Common Factor of 89835 and 89843?

Greatest common factor (GCF) of 89835 and 89843 is 1.

GCF(89835,89843) = 1

We will now calculate the prime factors of 89835 and 89843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89835 and 89843.

How to find the GCF of 89835 and 89843?

We will first find the prime factorization of 89835 and 89843. After we will calculate the factors of 89835 and 89843 and find the biggest common factor number .

Step-1: Prime Factorization of 89835

Prime factors of 89835 are 3, 5, 53, 113. Prime factorization of 89835 in exponential form is:

89835 = 3¹ × 5¹ × 53¹ × 113¹

Step-2: Prime Factorization of 89843

Prime factors of 89843 are 13, 6911. Prime factorization of 89843 in exponential form is:

89843 = 13¹ × 6911¹

Step-3: Factors of 89835

List of positive integer factors of 89835 that divides 89835 without a remainder.

1, 3, 5, 15, 53, 113, 159, 265, 339, 565, 795, 1695, 5989, 17967, 29945

Step-4: Factors of 89843

List of positive integer factors of 89843 that divides 89835 without a remainder.

1, 13, 6911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89835 and 89843. The biggest common factor number is the GCF number.
So the greatest common factor 89835 and 89843 is 1.

Also check out the Least Common Multiple of 89835 and 89843