What is the Greatest Common Factor of 88298 and 88315?

Greatest common factor (GCF) of 88298 and 88315 is 17.

GCF(88298,88315) = 17

We will now calculate the prime factors of 88298 and 88315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88298 and 88315.

How to find the GCF of 88298 and 88315?

We will first find the prime factorization of 88298 and 88315. After we will calculate the factors of 88298 and 88315 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88315

Prime factors of 88315 are 5, 17, 1039. Prime factorization of 88315 in exponential form is:

88315 = 5¹ × 17¹ × 1039¹

Step-3: Factors of 88298

List of positive integer factors of 88298 that divides 88298 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

Step-4: Factors of 88315

List of positive integer factors of 88315 that divides 88298 without a remainder.

1, 5, 17, 85, 1039, 5195, 17663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88298 and 88315. The biggest common factor number is the GCF number.
So the greatest common factor 88298 and 88315 is 17.

Also check out the Least Common Multiple of 88298 and 88315