What is the Greatest Common Factor of 87814 and 87820?

Greatest common factor (GCF) of 87814 and 87820 is 2.

GCF(87814,87820) = 2

We will now calculate the prime factors of 87814 and 87820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87814 and 87820.

How to find the GCF of 87814 and 87820?

We will first find the prime factorization of 87814 and 87820. After we will calculate the factors of 87814 and 87820 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 87820

Prime factors of 87820 are 2, 5, 4391. Prime factorization of 87820 in exponential form is:

87820 = 2² × 5¹ × 4391¹

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 87820

List of positive integer factors of 87820 that divides 87814 without a remainder.

1, 2, 4, 5, 10, 20, 4391, 8782, 17564, 21955, 43910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87814 and 87820. The biggest common factor number is the GCF number.
So the greatest common factor 87814 and 87820 is 2.

Also check out the Least Common Multiple of 87814 and 87820