What is the Greatest Common Factor of 30807 and 30825?

Greatest common factor (GCF) of 30807 and 30825 is 9.

GCF(30807,30825) = 9

We will now calculate the prime factors of 30807 and 30825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30807 and 30825.

How to find the GCF of 30807 and 30825?

We will first find the prime factorization of 30807 and 30825. After we will calculate the factors of 30807 and 30825 and find the biggest common factor number .

Step-1: Prime Factorization of 30807

Prime factors of 30807 are 3, 7, 163. Prime factorization of 30807 in exponential form is:

30807 = 3³ × 7¹ × 163¹

Step-2: Prime Factorization of 30825

Prime factors of 30825 are 3, 5, 137. Prime factorization of 30825 in exponential form is:

30825 = 3² × 5² × 137¹

Step-3: Factors of 30807

List of positive integer factors of 30807 that divides 30807 without a remainder.

1, 3, 7, 9, 21, 27, 63, 163, 189, 489, 1141, 1467, 3423, 4401, 10269

Step-4: Factors of 30825

List of positive integer factors of 30825 that divides 30807 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 137, 225, 411, 685, 1233, 2055, 3425, 6165, 10275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30807 and 30825. The biggest common factor number is the GCF number.
So the greatest common factor 30807 and 30825 is 9.

Also check out the Least Common Multiple of 30807 and 30825