What is the Greatest Common Factor of 30688 and 30701?

Greatest common factor (GCF) of 30688 and 30701 is 1.

GCF(30688,30701) = 1

We will now calculate the prime factors of 30688 and 30701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30688 and 30701.

How to find the GCF of 30688 and 30701?

We will first find the prime factorization of 30688 and 30701. After we will calculate the factors of 30688 and 30701 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 30701

Prime factors of 30701 are 11, 2791. Prime factorization of 30701 in exponential form is:

30701 = 11¹ × 2791¹

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 30701

List of positive integer factors of 30701 that divides 30688 without a remainder.

1, 11, 2791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30688 and 30701. The biggest common factor number is the GCF number.
So the greatest common factor 30688 and 30701 is 1.

Also check out the Least Common Multiple of 30688 and 30701