What is the Greatest Common Factor of 87286 and 87296?

Greatest common factor (GCF) of 87286 and 87296 is 2.

GCF(87286,87296) = 2

We will now calculate the prime factors of 87286 and 87296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87286 and 87296.

How to find the GCF of 87286 and 87296?

We will first find the prime factorization of 87286 and 87296. After we will calculate the factors of 87286 and 87296 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 87296

Prime factors of 87296 are 2, 11, 31. Prime factorization of 87296 in exponential form is:

87296 = 2⁸ × 11¹ × 31¹

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 87296

List of positive integer factors of 87296 that divides 87286 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 64, 88, 124, 128, 176, 248, 256, 341, 352, 496, 682, 704, 992, 1364, 1408, 1984, 2728, 2816, 3968, 5456, 7936, 10912, 21824, 43648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87286 and 87296. The biggest common factor number is the GCF number.
So the greatest common factor 87286 and 87296 is 2.

Also check out the Least Common Multiple of 87286 and 87296