What is the Greatest Common Factor of 90930 and 90950?

Greatest common factor (GCF) of 90930 and 90950 is 10.

GCF(90930,90950) = 10

We will now calculate the prime factors of 90930 and 90950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90930 and 90950.

How to find the GCF of 90930 and 90950?

We will first find the prime factorization of 90930 and 90950. After we will calculate the factors of 90930 and 90950 and find the biggest common factor number .

Step-1: Prime Factorization of 90930

Prime factors of 90930 are 2, 3, 5, 7, 433. Prime factorization of 90930 in exponential form is:

90930 = 2¹ × 3¹ × 5¹ × 7¹ × 433¹

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 90930

List of positive integer factors of 90930 that divides 90930 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 433, 866, 1299, 2165, 2598, 3031, 4330, 6062, 6495, 9093, 12990, 15155, 18186, 30310, 45465

Step-4: Factors of 90950

List of positive integer factors of 90950 that divides 90930 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 90930 and 90950. The biggest common factor number is the GCF number.
So the greatest common factor 90930 and 90950 is 10.

Also check out the Least Common Multiple of 90930 and 90950