What is the Greatest Common Factor of 69296 and 69313?

Greatest common factor (GCF) of 69296 and 69313 is 1.

GCF(69296,69313) = 1

We will now calculate the prime factors of 69296 and 69313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69296 and 69313.

How to find the GCF of 69296 and 69313?

We will first find the prime factorization of 69296 and 69313. After we will calculate the factors of 69296 and 69313 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 69313

Prime factors of 69313 are 69313. Prime factorization of 69313 in exponential form is:

69313 = 69313¹

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 69313

List of positive integer factors of 69313 that divides 69296 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69296 and 69313. The biggest common factor number is the GCF number.
So the greatest common factor 69296 and 69313 is 1.

Also check out the Least Common Multiple of 69296 and 69313