What is the Greatest Common Factor of 90825 and 90841?

Greatest common factor (GCF) of 90825 and 90841 is 1.

GCF(90825,90841) = 1

We will now calculate the prime factors of 90825 and 90841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90825 and 90841.

How to find the GCF of 90825 and 90841?

We will first find the prime factorization of 90825 and 90841. After we will calculate the factors of 90825 and 90841 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 90841

Prime factors of 90841 are 90841. Prime factorization of 90841 in exponential form is:

90841 = 90841¹

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 90841

List of positive integer factors of 90841 that divides 90825 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90825 and 90841. The biggest common factor number is the GCF number.
So the greatest common factor 90825 and 90841 is 1.

Also check out the Least Common Multiple of 90825 and 90841