What is the Greatest Common Factor of 87814 and 87832?

Greatest common factor (GCF) of 87814 and 87832 is 2.

GCF(87814,87832) = 2

We will now calculate the prime factors of 87814 and 87832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87814 and 87832.

How to find the GCF of 87814 and 87832?

We will first find the prime factorization of 87814 and 87832. After we will calculate the factors of 87814 and 87832 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 87832

Prime factors of 87832 are 2, 10979. Prime factorization of 87832 in exponential form is:

87832 = 2³ × 10979¹

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 87832

List of positive integer factors of 87832 that divides 87814 without a remainder.

1, 2, 4, 8, 10979, 21958, 43916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87814 and 87832. The biggest common factor number is the GCF number.
So the greatest common factor 87814 and 87832 is 2.

Also check out the Least Common Multiple of 87814 and 87832