What is the Greatest Common Factor of 87809 and 87825?

Greatest common factor (GCF) of 87809 and 87825 is 1.

GCF(87809,87825) = 1

We will now calculate the prime factors of 87809 and 87825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87809 and 87825.

How to find the GCF of 87809 and 87825?

We will first find the prime factorization of 87809 and 87825. After we will calculate the factors of 87809 and 87825 and find the biggest common factor number .

Step-1: Prime Factorization of 87809

Prime factors of 87809 are 277, 317. Prime factorization of 87809 in exponential form is:

87809 = 277¹ × 317¹

Step-2: 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-3: Factors of 87809

List of positive integer factors of 87809 that divides 87809 without a remainder.

1, 277, 317

Step-4: Factors of 87825

List of positive integer factors of 87825 that divides 87809 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87809 and 87825. The biggest common factor number is the GCF number.
So the greatest common factor 87809 and 87825 is 1.

Also check out the Least Common Multiple of 87809 and 87825