What is the Greatest Common Factor of 69338 and 69344?

Greatest common factor (GCF) of 69338 and 69344 is 2.

GCF(69338,69344) = 2

We will now calculate the prime factors of 69338 and 69344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69338 and 69344.

How to find the GCF of 69338 and 69344?

We will first find the prime factorization of 69338 and 69344. After we will calculate the factors of 69338 and 69344 and find the biggest common factor number .

Step-1: Prime Factorization of 69338

Prime factors of 69338 are 2, 37, 937. Prime factorization of 69338 in exponential form is:

69338 = 2¹ × 37¹ × 937¹

Step-2: Prime Factorization of 69344

Prime factors of 69344 are 2, 11, 197. Prime factorization of 69344 in exponential form is:

69344 = 2⁵ × 11¹ × 197¹

Step-3: Factors of 69338

List of positive integer factors of 69338 that divides 69338 without a remainder.

1, 2, 37, 74, 937, 1874, 34669

Step-4: Factors of 69344

List of positive integer factors of 69344 that divides 69338 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 197, 352, 394, 788, 1576, 2167, 3152, 4334, 6304, 8668, 17336, 34672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69338 and 69344. The biggest common factor number is the GCF number.
So the greatest common factor 69338 and 69344 is 2.

Also check out the Least Common Multiple of 69338 and 69344