What is the Greatest Common Factor of 87080 and 87096?

Greatest common factor (GCF) of 87080 and 87096 is 8.

GCF(87080,87096) = 8

We will now calculate the prime factors of 87080 and 87096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87080 and 87096.

How to find the GCF of 87080 and 87096?

We will first find the prime factorization of 87080 and 87096. After we will calculate the factors of 87080 and 87096 and find the biggest common factor number .

Step-1: Prime Factorization of 87080

Prime factors of 87080 are 2, 5, 7, 311. Prime factorization of 87080 in exponential form is:

87080 = 2³ × 5¹ × 7¹ × 311¹

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 87080

List of positive integer factors of 87080 that divides 87080 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 311, 622, 1244, 1555, 2177, 2488, 3110, 4354, 6220, 8708, 10885, 12440, 17416, 21770, 43540

Step-4: Factors of 87096

List of positive integer factors of 87096 that divides 87080 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 87080 and 87096. The biggest common factor number is the GCF number.
So the greatest common factor 87080 and 87096 is 8.

Also check out the Least Common Multiple of 87080 and 87096