What is the Greatest Common Factor of 90644 and 90661?

Greatest common factor (GCF) of 90644 and 90661 is 17.

GCF(90644,90661) = 17

We will now calculate the prime factors of 90644 and 90661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90644 and 90661.

How to find the GCF of 90644 and 90661?

We will first find the prime factorization of 90644 and 90661. After we will calculate the factors of 90644 and 90661 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 90661

Prime factors of 90661 are 17, 5333. Prime factorization of 90661 in exponential form is:

90661 = 17¹ × 5333¹

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 90661

List of positive integer factors of 90661 that divides 90644 without a remainder.

1, 17, 5333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90644 and 90661. The biggest common factor number is the GCF number.
So the greatest common factor 90644 and 90661 is 17.

Also check out the Least Common Multiple of 90644 and 90661