What is the Greatest Common Factor of 91815 and 91825?

Greatest common factor (GCF) of 91815 and 91825 is 5.

GCF(91815,91825) = 5

We will now calculate the prime factors of 91815 and 91825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91815 and 91825.

How to find the GCF of 91815 and 91825?

We will first find the prime factorization of 91815 and 91825. After we will calculate the factors of 91815 and 91825 and find the biggest common factor number .

Step-1: Prime Factorization of 91815

Prime factors of 91815 are 3, 5, 6121. Prime factorization of 91815 in exponential form is:

91815 = 3¹ × 5¹ × 6121¹

Step-2: Prime Factorization of 91825

Prime factors of 91825 are 5, 3673. Prime factorization of 91825 in exponential form is:

91825 = 5² × 3673¹

Step-3: Factors of 91815

List of positive integer factors of 91815 that divides 91815 without a remainder.

1, 3, 5, 15, 6121, 18363, 30605

Step-4: Factors of 91825

List of positive integer factors of 91825 that divides 91815 without a remainder.

1, 5, 25, 3673, 18365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91815 and 91825. The biggest common factor number is the GCF number.
So the greatest common factor 91815 and 91825 is 5.

Also check out the Least Common Multiple of 91815 and 91825