What is the Greatest Common Factor of 90810 and 90825?

Greatest common factor (GCF) of 90810 and 90825 is 15.

GCF(90810,90825) = 15

We will now calculate the prime factors of 90810 and 90825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90810 and 90825.

How to find the GCF of 90810 and 90825?

We will first find the prime factorization of 90810 and 90825. After we will calculate the factors of 90810 and 90825 and find the biggest common factor number .

Step-1: Prime Factorization of 90810

Prime factors of 90810 are 2, 3, 5, 1009. Prime factorization of 90810 in exponential form is:

90810 = 2¹ × 3² × 5¹ × 1009¹

Step-2: 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-3: Factors of 90810

List of positive integer factors of 90810 that divides 90810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1009, 2018, 3027, 5045, 6054, 9081, 10090, 15135, 18162, 30270, 45405

Step-4: Factors of 90825

List of positive integer factors of 90825 that divides 90810 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90810 and 90825. The biggest common factor number is the GCF number.
So the greatest common factor 90810 and 90825 is 15.

Also check out the Least Common Multiple of 90810 and 90825