What is the Greatest Common Factor of 87825 and 87829?

Greatest common factor (GCF) of 87825 and 87829 is 1.

GCF(87825,87829) = 1

We will now calculate the prime factors of 87825 and 87829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87825 and 87829.

How to find the GCF of 87825 and 87829?

We will first find the prime factorization of 87825 and 87829. After we will calculate the factors of 87825 and 87829 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 87829

Prime factors of 87829 are 7, 12547. Prime factorization of 87829 in exponential form is:

87829 = 7¹ × 12547¹

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 87829

List of positive integer factors of 87829 that divides 87825 without a remainder.

1, 7, 12547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87825 and 87829. The biggest common factor number is the GCF number.
So the greatest common factor 87825 and 87829 is 1.

Also check out the Least Common Multiple of 87825 and 87829