What is the Greatest Common Factor of 30688 and 30692?

Greatest common factor (GCF) of 30688 and 30692 is 4.

GCF(30688,30692) = 4

We will now calculate the prime factors of 30688 and 30692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30688 and 30692.

How to find the GCF of 30688 and 30692?

We will first find the prime factorization of 30688 and 30692. After we will calculate the factors of 30688 and 30692 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 30692

Prime factors of 30692 are 2, 7673. Prime factorization of 30692 in exponential form is:

30692 = 2² × 7673¹

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 30692

List of positive integer factors of 30692 that divides 30688 without a remainder.

1, 2, 4, 7673, 15346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30688 and 30692. The biggest common factor number is the GCF number.
So the greatest common factor 30688 and 30692 is 4.

Also check out the Least Common Multiple of 30688 and 30692