What is the Greatest Common Factor of 87096 and 87114?

Greatest common factor (GCF) of 87096 and 87114 is 6.

GCF(87096,87114) = 6

We will now calculate the prime factors of 87096 and 87114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87096 and 87114.

How to find the GCF of 87096 and 87114?

We will first find the prime factorization of 87096 and 87114. After we will calculate the factors of 87096 and 87114 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 87114

Prime factors of 87114 are 2, 3, 14519. Prime factorization of 87114 in exponential form is:

87114 = 2¹ × 3¹ × 14519¹

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 87114

List of positive integer factors of 87114 that divides 87096 without a remainder.

1, 2, 3, 6, 14519, 29038, 43557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87096 and 87114. The biggest common factor number is the GCF number.
So the greatest common factor 87096 and 87114 is 6.

Also check out the Least Common Multiple of 87096 and 87114