What is the Greatest Common Factor of 87854 and 87868?

Greatest common factor (GCF) of 87854 and 87868 is 2.

GCF(87854,87868) = 2

We will now calculate the prime factors of 87854 and 87868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87854 and 87868.

How to find the GCF of 87854 and 87868?

We will first find the prime factorization of 87854 and 87868. After we will calculate the factors of 87854 and 87868 and find the biggest common factor number .

Step-1: Prime Factorization of 87854

Prime factors of 87854 are 2, 13, 31, 109. Prime factorization of 87854 in exponential form is:

87854 = 2¹ × 13¹ × 31¹ × 109¹

Step-2: Prime Factorization of 87868

Prime factors of 87868 are 2, 11, 1997. Prime factorization of 87868 in exponential form is:

87868 = 2² × 11¹ × 1997¹

Step-3: Factors of 87854

List of positive integer factors of 87854 that divides 87854 without a remainder.

1, 2, 13, 26, 31, 62, 109, 218, 403, 806, 1417, 2834, 3379, 6758, 43927

Step-4: Factors of 87868

List of positive integer factors of 87868 that divides 87854 without a remainder.

1, 2, 4, 11, 22, 44, 1997, 3994, 7988, 21967, 43934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87854 and 87868. The biggest common factor number is the GCF number.
So the greatest common factor 87854 and 87868 is 2.

Also check out the Least Common Multiple of 87854 and 87868