What is the Greatest Common Factor of 90912 and 90930?

Greatest common factor (GCF) of 90912 and 90930 is 6.

GCF(90912,90930) = 6

We will now calculate the prime factors of 90912 and 90930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90912 and 90930.

How to find the GCF of 90912 and 90930?

We will first find the prime factorization of 90912 and 90930. After we will calculate the factors of 90912 and 90930 and find the biggest common factor number .

Step-1: Prime Factorization of 90912

Prime factors of 90912 are 2, 3, 947. Prime factorization of 90912 in exponential form is:

90912 = 2⁵ × 3¹ × 947¹

Step-2: 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-3: Factors of 90912

List of positive integer factors of 90912 that divides 90912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 947, 1894, 2841, 3788, 5682, 7576, 11364, 15152, 22728, 30304, 45456

Step-4: Factors of 90930

List of positive integer factors of 90930 that divides 90912 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90912 and 90930. The biggest common factor number is the GCF number.
So the greatest common factor 90912 and 90930 is 6.

Also check out the Least Common Multiple of 90912 and 90930