What is the Greatest Common Factor of 87286 and 87304?

Greatest common factor (GCF) of 87286 and 87304 is 2.

GCF(87286,87304) = 2

We will now calculate the prime factors of 87286 and 87304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87286 and 87304.

How to find the GCF of 87286 and 87304?

We will first find the prime factorization of 87286 and 87304. After we will calculate the factors of 87286 and 87304 and find the biggest common factor number .

Step-1: Prime Factorization of 87286

Prime factors of 87286 are 2, 19, 2297. Prime factorization of 87286 in exponential form is:

87286 = 2¹ × 19¹ × 2297¹

Step-2: Prime Factorization of 87304

Prime factors of 87304 are 2, 7, 1559. Prime factorization of 87304 in exponential form is:

87304 = 2³ × 7¹ × 1559¹

Step-3: Factors of 87286

List of positive integer factors of 87286 that divides 87286 without a remainder.

1, 2, 19, 38, 2297, 4594, 43643

Step-4: Factors of 87304

List of positive integer factors of 87304 that divides 87286 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1559, 3118, 6236, 10913, 12472, 21826, 43652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87286 and 87304. The biggest common factor number is the GCF number.
So the greatest common factor 87286 and 87304 is 2.

Also check out the Least Common Multiple of 87286 and 87304