What is the Greatest Common Factor of 90933 and 90950?

Greatest common factor (GCF) of 90933 and 90950 is 17.

GCF(90933,90950) = 17

We will now calculate the prime factors of 90933 and 90950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90933 and 90950.

How to find the GCF of 90933 and 90950?

We will first find the prime factorization of 90933 and 90950. After we will calculate the factors of 90933 and 90950 and find the biggest common factor number .

Step-1: Prime Factorization of 90933

Prime factors of 90933 are 3, 17, 1783. Prime factorization of 90933 in exponential form is:

90933 = 3¹ × 17¹ × 1783¹

Step-2: Prime Factorization of 90950

Prime factors of 90950 are 2, 5, 17, 107. Prime factorization of 90950 in exponential form is:

90950 = 2¹ × 5² × 17¹ × 107¹

Step-3: Factors of 90933

List of positive integer factors of 90933 that divides 90933 without a remainder.

1, 3, 17, 51, 1783, 5349, 30311

Step-4: Factors of 90950

List of positive integer factors of 90950 that divides 90933 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 107, 170, 214, 425, 535, 850, 1070, 1819, 2675, 3638, 5350, 9095, 18190, 45475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90933 and 90950. The biggest common factor number is the GCF number.
So the greatest common factor 90933 and 90950 is 17.

Also check out the Least Common Multiple of 90933 and 90950