What is the Greatest Common Factor of 69344 and 69362?

Greatest common factor (GCF) of 69344 and 69362 is 2.

GCF(69344,69362) = 2

We will now calculate the prime factors of 69344 and 69362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69344 and 69362.

How to find the GCF of 69344 and 69362?

We will first find the prime factorization of 69344 and 69362. After we will calculate the factors of 69344 and 69362 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69362

Prime factors of 69362 are 2, 79, 439. Prime factorization of 69362 in exponential form is:

69362 = 2¹ × 79¹ × 439¹

Step-3: Factors of 69344

List of positive integer factors of 69344 that divides 69344 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

Step-4: Factors of 69362

List of positive integer factors of 69362 that divides 69344 without a remainder.

1, 2, 79, 158, 439, 878, 34681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69344 and 69362. The biggest common factor number is the GCF number.
So the greatest common factor 69344 and 69362 is 2.

Also check out the Least Common Multiple of 69344 and 69362