What is the Greatest Common Factor of 88298 and 88304?

Greatest common factor (GCF) of 88298 and 88304 is 2.

GCF(88298,88304) = 2

We will now calculate the prime factors of 88298 and 88304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88298 and 88304.

How to find the GCF of 88298 and 88304?

We will first find the prime factorization of 88298 and 88304. After we will calculate the factors of 88298 and 88304 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 88304

Prime factors of 88304 are 2, 5519. Prime factorization of 88304 in exponential form is:

88304 = 2⁴ × 5519¹

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 88304

List of positive integer factors of 88304 that divides 88298 without a remainder.

1, 2, 4, 8, 16, 5519, 11038, 22076, 44152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88298 and 88304. The biggest common factor number is the GCF number.
So the greatest common factor 88298 and 88304 is 2.

Also check out the Least Common Multiple of 88298 and 88304