What is the Greatest Common Factor of 90688 and 90701?

Greatest common factor (GCF) of 90688 and 90701 is 13.

GCF(90688,90701) = 13

We will now calculate the prime factors of 90688 and 90701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90688 and 90701.

How to find the GCF of 90688 and 90701?

We will first find the prime factorization of 90688 and 90701. After we will calculate the factors of 90688 and 90701 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 90701

Prime factors of 90701 are 13, 6977. Prime factorization of 90701 in exponential form is:

90701 = 13¹ × 6977¹

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 90701

List of positive integer factors of 90701 that divides 90688 without a remainder.

1, 13, 6977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90688 and 90701. The biggest common factor number is the GCF number.
So the greatest common factor 90688 and 90701 is 13.

Also check out the Least Common Multiple of 90688 and 90701