What is the Greatest Common Factor of 87286 and 87292?

Greatest common factor (GCF) of 87286 and 87292 is 2.

GCF(87286,87292) = 2

We will now calculate the prime factors of 87286 and 87292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87286 and 87292.

How to find the GCF of 87286 and 87292?

We will first find the prime factorization of 87286 and 87292. After we will calculate the factors of 87286 and 87292 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 87292

Prime factors of 87292 are 2, 139, 157. Prime factorization of 87292 in exponential form is:

87292 = 2² × 139¹ × 157¹

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 87292

List of positive integer factors of 87292 that divides 87286 without a remainder.

1, 2, 4, 139, 157, 278, 314, 556, 628, 21823, 43646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87286 and 87292. The biggest common factor number is the GCF number.
So the greatest common factor 87286 and 87292 is 2.

Also check out the Least Common Multiple of 87286 and 87292