What is the Greatest Common Factor of 69288 and 69298?

Greatest common factor (GCF) of 69288 and 69298 is 2.

GCF(69288,69298) = 2

We will now calculate the prime factors of 69288 and 69298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69288 and 69298.

How to find the GCF of 69288 and 69298?

We will first find the prime factorization of 69288 and 69298. After we will calculate the factors of 69288 and 69298 and find the biggest common factor number .

Step-1: Prime Factorization of 69288

Prime factors of 69288 are 2, 3, 2887. Prime factorization of 69288 in exponential form is:

69288 = 2³ × 3¹ × 2887¹

Step-2: Prime Factorization of 69298

Prime factors of 69298 are 2, 34649. Prime factorization of 69298 in exponential form is:

69298 = 2¹ × 34649¹

Step-3: Factors of 69288

List of positive integer factors of 69288 that divides 69288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2887, 5774, 8661, 11548, 17322, 23096, 34644

Step-4: Factors of 69298

List of positive integer factors of 69298 that divides 69288 without a remainder.

1, 2, 34649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69288 and 69298. The biggest common factor number is the GCF number.
So the greatest common factor 69288 and 69298 is 2.

Also check out the Least Common Multiple of 69288 and 69298