What is the Greatest Common Factor of 87825 and 87841?

Greatest common factor (GCF) of 87825 and 87841 is 1.

GCF(87825,87841) = 1

We will now calculate the prime factors of 87825 and 87841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87825 and 87841.

How to find the GCF of 87825 and 87841?

We will first find the prime factorization of 87825 and 87841. After we will calculate the factors of 87825 and 87841 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 87841

Prime factors of 87841 are 13, 29, 233. Prime factorization of 87841 in exponential form is:

87841 = 13¹ × 29¹ × 233¹

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 87841

List of positive integer factors of 87841 that divides 87825 without a remainder.

1, 13, 29, 233, 377, 3029, 6757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87825 and 87841. The biggest common factor number is the GCF number.
So the greatest common factor 87825 and 87841 is 1.

Also check out the Least Common Multiple of 87825 and 87841