What is the Greatest Common Factor of 90644 and 90659?

Greatest common factor (GCF) of 90644 and 90659 is 1.

GCF(90644,90659) = 1

We will now calculate the prime factors of 90644 and 90659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90644 and 90659.

How to find the GCF of 90644 and 90659?

We will first find the prime factorization of 90644 and 90659. After we will calculate the factors of 90644 and 90659 and find the biggest common factor number .

Step-1: Prime Factorization of 90644

Prime factors of 90644 are 2, 17, 31, 43. Prime factorization of 90644 in exponential form is:

90644 = 2² × 17¹ × 31¹ × 43¹

Step-2: Prime Factorization of 90659

Prime factors of 90659 are 90659. Prime factorization of 90659 in exponential form is:

90659 = 90659¹

Step-3: Factors of 90644

List of positive integer factors of 90644 that divides 90644 without a remainder.

1, 2, 4, 17, 31, 34, 43, 62, 68, 86, 124, 172, 527, 731, 1054, 1333, 1462, 2108, 2666, 2924, 5332, 22661, 45322

Step-4: Factors of 90659

List of positive integer factors of 90659 that divides 90644 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90644 and 90659. The biggest common factor number is the GCF number.
So the greatest common factor 90644 and 90659 is 1.

Also check out the Least Common Multiple of 90644 and 90659