What is the Greatest Common Factor of 90825 and 90843?

Greatest common factor (GCF) of 90825 and 90843 is 3.

GCF(90825,90843) = 3

We will now calculate the prime factors of 90825 and 90843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90825 and 90843.

How to find the GCF of 90825 and 90843?

We will first find the prime factorization of 90825 and 90843. After we will calculate the factors of 90825 and 90843 and find the biggest common factor number .

Step-1: Prime Factorization of 90825

Prime factors of 90825 are 3, 5, 7, 173. Prime factorization of 90825 in exponential form is:

90825 = 3¹ × 5² × 7¹ × 173¹

Step-2: 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-3: Factors of 90825

List of positive integer factors of 90825 that divides 90825 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 173, 175, 519, 525, 865, 1211, 2595, 3633, 4325, 6055, 12975, 18165, 30275

Step-4: Factors of 90843

List of positive integer factors of 90843 that divides 90825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90825 and 90843. The biggest common factor number is the GCF number.
So the greatest common factor 90825 and 90843 is 3.

Also check out the Least Common Multiple of 90825 and 90843