What is the Greatest Common Factor of 88286 and 88298?

Greatest common factor (GCF) of 88286 and 88298 is 2.

GCF(88286,88298) = 2

We will now calculate the prime factors of 88286 and 88298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88286 and 88298.

How to find the GCF of 88286 and 88298?

We will first find the prime factorization of 88286 and 88298. After we will calculate the factors of 88286 and 88298 and find the biggest common factor number .

Step-1: Prime Factorization of 88286

Prime factors of 88286 are 2, 11, 4013. Prime factorization of 88286 in exponential form is:

88286 = 2¹ × 11¹ × 4013¹

Step-2: Prime Factorization of 88298

Prime factors of 88298 are 2, 7, 17, 53. Prime factorization of 88298 in exponential form is:

88298 = 2¹ × 7² × 17¹ × 53¹

Step-3: Factors of 88286

List of positive integer factors of 88286 that divides 88286 without a remainder.

1, 2, 11, 22, 4013, 8026, 44143

Step-4: Factors of 88298

List of positive integer factors of 88298 that divides 88286 without a remainder.

1, 2, 7, 14, 17, 34, 49, 53, 98, 106, 119, 238, 371, 742, 833, 901, 1666, 1802, 2597, 5194, 6307, 12614, 44149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88286 and 88298. The biggest common factor number is the GCF number.
So the greatest common factor 88286 and 88298 is 2.

Also check out the Least Common Multiple of 88286 and 88298