What is the Greatest Common Factor of 69296 and 69304?

Greatest common factor (GCF) of 69296 and 69304 is 8.

GCF(69296,69304) = 8

We will now calculate the prime factors of 69296 and 69304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69296 and 69304.

How to find the GCF of 69296 and 69304?

We will first find the prime factorization of 69296 and 69304. After we will calculate the factors of 69296 and 69304 and find the biggest common factor number .

Step-1: Prime Factorization of 69296

Prime factors of 69296 are 2, 61, 71. Prime factorization of 69296 in exponential form is:

69296 = 2⁴ × 61¹ × 71¹

Step-2: Prime Factorization of 69304

Prime factors of 69304 are 2, 8663. Prime factorization of 69304 in exponential form is:

69304 = 2³ × 8663¹

Step-3: Factors of 69296

List of positive integer factors of 69296 that divides 69296 without a remainder.

1, 2, 4, 8, 16, 61, 71, 122, 142, 244, 284, 488, 568, 976, 1136, 4331, 8662, 17324, 34648

Step-4: Factors of 69304

List of positive integer factors of 69304 that divides 69296 without a remainder.

1, 2, 4, 8, 8663, 17326, 34652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69296 and 69304. The biggest common factor number is the GCF number.
So the greatest common factor 69296 and 69304 is 8.

Also check out the Least Common Multiple of 69296 and 69304