What is the Greatest Common Factor of 87814 and 87825?

Greatest common factor (GCF) of 87814 and 87825 is 1.

GCF(87814,87825) = 1

We will now calculate the prime factors of 87814 and 87825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87814 and 87825.

How to find the GCF of 87814 and 87825?

We will first find the prime factorization of 87814 and 87825. After we will calculate the factors of 87814 and 87825 and find the biggest common factor number .

Step-1: Prime Factorization of 87814

Prime factors of 87814 are 2, 23, 83. Prime factorization of 87814 in exponential form is:

87814 = 2¹ × 23² × 83¹

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 87814

List of positive integer factors of 87814 that divides 87814 without a remainder.

1, 2, 23, 46, 83, 166, 529, 1058, 1909, 3818, 43907

Step-4: Factors of 87825

List of positive integer factors of 87825 that divides 87814 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 87814 and 87825. The biggest common factor number is the GCF number.
So the greatest common factor 87814 and 87825 is 1.

Also check out the Least Common Multiple of 87814 and 87825