What is the Greatest Common Factor of 87079 and 87096?

Greatest common factor (GCF) of 87079 and 87096 is 1.

GCF(87079,87096) = 1

We will now calculate the prime factors of 87079 and 87096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87079 and 87096.

How to find the GCF of 87079 and 87096?

We will first find the prime factorization of 87079 and 87096. After we will calculate the factors of 87079 and 87096 and find the biggest common factor number .

Step-1: Prime Factorization of 87079

Prime factors of 87079 are 31, 53. Prime factorization of 87079 in exponential form is:

87079 = 31¹ × 53²

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 87079

List of positive integer factors of 87079 that divides 87079 without a remainder.

1, 31, 53, 1643, 2809

Step-4: Factors of 87096

List of positive integer factors of 87096 that divides 87079 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 87079 and 87096. The biggest common factor number is the GCF number.
So the greatest common factor 87079 and 87096 is 1.

Also check out the Least Common Multiple of 87079 and 87096