What is the Greatest Common Factor of 78592 and 78608?

Greatest common factor (GCF) of 78592 and 78608 is 16.

GCF(78592,78608) = 16

We will now calculate the prime factors of 78592 and 78608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78592 and 78608.

How to find the GCF of 78592 and 78608?

We will first find the prime factorization of 78592 and 78608. After we will calculate the factors of 78592 and 78608 and find the biggest common factor number .

Step-1: Prime Factorization of 78592

Prime factors of 78592 are 2, 307. Prime factorization of 78592 in exponential form is:

78592 = 2⁸ × 307¹

Step-2: Prime Factorization of 78608

Prime factors of 78608 are 2, 17. Prime factorization of 78608 in exponential form is:

78608 = 2⁴ × 17³

Step-3: Factors of 78592

List of positive integer factors of 78592 that divides 78592 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 307, 614, 1228, 2456, 4912, 9824, 19648, 39296

Step-4: Factors of 78608

List of positive integer factors of 78608 that divides 78592 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624, 4913, 9826, 19652, 39304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78592 and 78608. The biggest common factor number is the GCF number.
So the greatest common factor 78592 and 78608 is 16.

Also check out the Least Common Multiple of 78592 and 78608