What is the Greatest Common Factor of 87825 and 87833?

Greatest common factor (GCF) of 87825 and 87833 is 1.

GCF(87825,87833) = 1

We will now calculate the prime factors of 87825 and 87833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87825 and 87833.

How to find the GCF of 87825 and 87833?

We will first find the prime factorization of 87825 and 87833. After we will calculate the factors of 87825 and 87833 and find the biggest common factor number .

Step-1: Prime Factorization of 87825

Prime factors of 87825 are 3, 5, 1171. Prime factorization of 87825 in exponential form is:

87825 = 3¹ × 5² × 1171¹

Step-2: Prime Factorization of 87833

Prime factors of 87833 are 87833. Prime factorization of 87833 in exponential form is:

87833 = 87833¹

Step-3: Factors of 87825

List of positive integer factors of 87825 that divides 87825 without a remainder.

1, 3, 5, 15, 25, 75, 1171, 3513, 5855, 17565, 29275

Step-4: Factors of 87833

List of positive integer factors of 87833 that divides 87825 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87825 and 87833. The biggest common factor number is the GCF number.
So the greatest common factor 87825 and 87833 is 1.

Also check out the Least Common Multiple of 87825 and 87833