What is the Greatest Common Factor of 90825 and 90830?

Greatest common factor (GCF) of 90825 and 90830 is 5.

GCF(90825,90830) = 5

We will now calculate the prime factors of 90825 and 90830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90825 and 90830.

How to find the GCF of 90825 and 90830?

We will first find the prime factorization of 90825 and 90830. After we will calculate the factors of 90825 and 90830 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 90830

Prime factors of 90830 are 2, 5, 31, 293. Prime factorization of 90830 in exponential form is:

90830 = 2¹ × 5¹ × 31¹ × 293¹

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 90830

List of positive integer factors of 90830 that divides 90825 without a remainder.

1, 2, 5, 10, 31, 62, 155, 293, 310, 586, 1465, 2930, 9083, 18166, 45415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90825 and 90830. The biggest common factor number is the GCF number.
So the greatest common factor 90825 and 90830 is 5.

Also check out the Least Common Multiple of 90825 and 90830