What is the Greatest Common Factor of 90688 and 90704?

Greatest common factor (GCF) of 90688 and 90704 is 16.

GCF(90688,90704) = 16

We will now calculate the prime factors of 90688 and 90704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90688 and 90704.

How to find the GCF of 90688 and 90704?

We will first find the prime factorization of 90688 and 90704. After we will calculate the factors of 90688 and 90704 and find the biggest common factor number .

Step-1: Prime Factorization of 90688

Prime factors of 90688 are 2, 13, 109. Prime factorization of 90688 in exponential form is:

90688 = 2⁶ × 13¹ × 109¹

Step-2: Prime Factorization of 90704

Prime factors of 90704 are 2, 5669. Prime factorization of 90704 in exponential form is:

90704 = 2⁴ × 5669¹

Step-3: Factors of 90688

List of positive integer factors of 90688 that divides 90688 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 109, 208, 218, 416, 436, 832, 872, 1417, 1744, 2834, 3488, 5668, 6976, 11336, 22672, 45344

Step-4: Factors of 90704

List of positive integer factors of 90704 that divides 90688 without a remainder.

1, 2, 4, 8, 16, 5669, 11338, 22676, 45352

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90688 and 90704. The biggest common factor number is the GCF number.
So the greatest common factor 90688 and 90704 is 16.

Also check out the Least Common Multiple of 90688 and 90704