What is the Greatest Common Factor of 18688 and 18692?

Greatest common factor (GCF) of 18688 and 18692 is 4.

GCF(18688,18692) = 4

We will now calculate the prime factors of 18688 and 18692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18688 and 18692.

How to find the GCF of 18688 and 18692?

We will first find the prime factorization of 18688 and 18692. After we will calculate the factors of 18688 and 18692 and find the biggest common factor number .

Step-1: Prime Factorization of 18688

Prime factors of 18688 are 2, 73. Prime factorization of 18688 in exponential form is:

18688 = 2⁸ × 73¹

Step-2: Prime Factorization of 18692

Prime factors of 18692 are 2, 4673. Prime factorization of 18692 in exponential form is:

18692 = 2² × 4673¹

Step-3: Factors of 18688

List of positive integer factors of 18688 that divides 18688 without a remainder.

1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 256, 292, 584, 1168, 2336, 4672, 9344

Step-4: Factors of 18692

List of positive integer factors of 18692 that divides 18688 without a remainder.

1, 2, 4, 4673, 9346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18688 and 18692. The biggest common factor number is the GCF number.
So the greatest common factor 18688 and 18692 is 4.

Also check out the Least Common Multiple of 18688 and 18692