What is the Greatest Common Factor of 90638 and 90644?

Greatest common factor (GCF) of 90638 and 90644 is 2.

GCF(90638,90644) = 2

We will now calculate the prime factors of 90638 and 90644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90638 and 90644.

How to find the GCF of 90638 and 90644?

We will first find the prime factorization of 90638 and 90644. After we will calculate the factors of 90638 and 90644 and find the biggest common factor number .

Step-1: Prime Factorization of 90638

Prime factors of 90638 are 2, 45319. Prime factorization of 90638 in exponential form is:

90638 = 2¹ × 45319¹

Step-2: 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-3: Factors of 90638

List of positive integer factors of 90638 that divides 90638 without a remainder.

1, 2, 45319

Step-4: Factors of 90644

List of positive integer factors of 90644 that divides 90638 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90638 and 90644. The biggest common factor number is the GCF number.
So the greatest common factor 90638 and 90644 is 2.

Also check out the Least Common Multiple of 90638 and 90644