What is the Greatest Common Factor of 87814 and 87827?

Greatest common factor (GCF) of 87814 and 87827 is 1.

GCF(87814,87827) = 1

We will now calculate the prime factors of 87814 and 87827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87814 and 87827.

How to find the GCF of 87814 and 87827?

We will first find the prime factorization of 87814 and 87827. After we will calculate the factors of 87814 and 87827 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 87827

Prime factors of 87827 are 71, 1237. Prime factorization of 87827 in exponential form is:

87827 = 71¹ × 1237¹

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 87827

List of positive integer factors of 87827 that divides 87814 without a remainder.

1, 71, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87814 and 87827. The biggest common factor number is the GCF number.
So the greatest common factor 87814 and 87827 is 1.

Also check out the Least Common Multiple of 87814 and 87827