What is the Greatest Common Factor of 18688 and 18708?

Greatest common factor (GCF) of 18688 and 18708 is 4.

GCF(18688,18708) = 4

We will now calculate the prime factors of 18688 and 18708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18688 and 18708.

How to find the GCF of 18688 and 18708?

We will first find the prime factorization of 18688 and 18708. After we will calculate the factors of 18688 and 18708 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 18708

Prime factors of 18708 are 2, 3, 1559. Prime factorization of 18708 in exponential form is:

18708 = 2² × 3¹ × 1559¹

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 18708

List of positive integer factors of 18708 that divides 18688 without a remainder.

1, 2, 3, 4, 6, 12, 1559, 3118, 4677, 6236, 9354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18688 and 18708. The biggest common factor number is the GCF number.
So the greatest common factor 18688 and 18708 is 4.

Also check out the Least Common Multiple of 18688 and 18708