What is the Greatest Common Factor of 30680 and 30688?

Greatest common factor (GCF) of 30680 and 30688 is 8.

GCF(30680,30688) = 8

We will now calculate the prime factors of 30680 and 30688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30680 and 30688.

How to find the GCF of 30680 and 30688?

We will first find the prime factorization of 30680 and 30688. After we will calculate the factors of 30680 and 30688 and find the biggest common factor number .

Step-1: Prime Factorization of 30680

Prime factors of 30680 are 2, 5, 13, 59. Prime factorization of 30680 in exponential form is:

30680 = 2³ × 5¹ × 13¹ × 59¹

Step-2: 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-3: Factors of 30680

List of positive integer factors of 30680 that divides 30680 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 59, 65, 104, 118, 130, 236, 260, 295, 472, 520, 590, 767, 1180, 1534, 2360, 3068, 3835, 6136, 7670, 15340

Step-4: Factors of 30688

List of positive integer factors of 30688 that divides 30680 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30680 and 30688. The biggest common factor number is the GCF number.
So the greatest common factor 30680 and 30688 is 8.

Also check out the Least Common Multiple of 30680 and 30688