What is the Greatest Common Factor of 87078 and 87096?

Greatest common factor (GCF) of 87078 and 87096 is 6.

GCF(87078,87096) = 6

We will now calculate the prime factors of 87078 and 87096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87078 and 87096.

How to find the GCF of 87078 and 87096?

We will first find the prime factorization of 87078 and 87096. After we will calculate the factors of 87078 and 87096 and find the biggest common factor number .

Step-1: Prime Factorization of 87078

Prime factors of 87078 are 2, 3, 23, 631. Prime factorization of 87078 in exponential form is:

87078 = 2¹ × 3¹ × 23¹ × 631¹

Step-2: 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-3: Factors of 87078

List of positive integer factors of 87078 that divides 87078 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 631, 1262, 1893, 3786, 14513, 29026, 43539

Step-4: Factors of 87096

List of positive integer factors of 87096 that divides 87078 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87078 and 87096. The biggest common factor number is the GCF number.
So the greatest common factor 87078 and 87096 is 6.

Also check out the Least Common Multiple of 87078 and 87096