What is the Greatest Common Factor of 87096 and 87112?

Greatest common factor (GCF) of 87096 and 87112 is 8.

GCF(87096,87112) = 8

We will now calculate the prime factors of 87096 and 87112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87096 and 87112.

How to find the GCF of 87096 and 87112?

We will first find the prime factorization of 87096 and 87112. After we will calculate the factors of 87096 and 87112 and find the biggest common factor number .

Step-1: Prime Factorization of 87096

Prime factors of 87096 are 2, 3, 19, 191. Prime factorization of 87096 in exponential form is:

87096 = 2³ × 3¹ × 19¹ × 191¹

Step-2: Prime Factorization of 87112

Prime factors of 87112 are 2, 10889. Prime factorization of 87112 in exponential form is:

87112 = 2³ × 10889¹

Step-3: Factors of 87096

List of positive integer factors of 87096 that divides 87096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 191, 228, 382, 456, 573, 764, 1146, 1528, 2292, 3629, 4584, 7258, 10887, 14516, 21774, 29032, 43548

Step-4: Factors of 87112

List of positive integer factors of 87112 that divides 87096 without a remainder.

1, 2, 4, 8, 10889, 21778, 43556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87096 and 87112. The biggest common factor number is the GCF number.
So the greatest common factor 87096 and 87112 is 8.

Also check out the Least Common Multiple of 87096 and 87112