What is the Greatest Common Factor of 30688 and 30707?

Greatest common factor (GCF) of 30688 and 30707 is 1.

GCF(30688,30707) = 1

We will now calculate the prime factors of 30688 and 30707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30688 and 30707.

How to find the GCF of 30688 and 30707?

We will first find the prime factorization of 30688 and 30707. After we will calculate the factors of 30688 and 30707 and find the biggest common factor number .

Step-1: Prime Factorization of 30688

Prime factors of 30688 are 2, 7, 137. Prime factorization of 30688 in exponential form is:

30688 = 2⁵ × 7¹ × 137¹

Step-2: Prime Factorization of 30707

Prime factors of 30707 are 30707. Prime factorization of 30707 in exponential form is:

30707 = 30707¹

Step-3: Factors of 30688

List of positive integer factors of 30688 that divides 30688 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 137, 224, 274, 548, 959, 1096, 1918, 2192, 3836, 4384, 7672, 15344

Step-4: Factors of 30707

List of positive integer factors of 30707 that divides 30688 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30688 and 30707. The biggest common factor number is the GCF number.
So the greatest common factor 30688 and 30707 is 1.

Also check out the Least Common Multiple of 30688 and 30707