What is the Greatest Common Factor of 90843 and 90852?

Greatest common factor (GCF) of 90843 and 90852 is 3.

GCF(90843,90852) = 3

We will now calculate the prime factors of 90843 and 90852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90843 and 90852.

How to find the GCF of 90843 and 90852?

We will first find the prime factorization of 90843 and 90852. After we will calculate the factors of 90843 and 90852 and find the biggest common factor number .

Step-1: Prime Factorization of 90843

Prime factors of 90843 are 3, 107, 283. Prime factorization of 90843 in exponential form is:

90843 = 3¹ × 107¹ × 283¹

Step-2: Prime Factorization of 90852

Prime factors of 90852 are 2, 3, 67, 113. Prime factorization of 90852 in exponential form is:

90852 = 2² × 3¹ × 67¹ × 113¹

Step-3: Factors of 90843

List of positive integer factors of 90843 that divides 90843 without a remainder.

1, 3, 107, 283, 321, 849, 30281

Step-4: Factors of 90852

List of positive integer factors of 90852 that divides 90843 without a remainder.

1, 2, 3, 4, 6, 12, 67, 113, 134, 201, 226, 268, 339, 402, 452, 678, 804, 1356, 7571, 15142, 22713, 30284, 45426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90843 and 90852. The biggest common factor number is the GCF number.
So the greatest common factor 90843 and 90852 is 3.

Also check out the Least Common Multiple of 90843 and 90852