What is the Greatest Common Factor of 90930 and 90944?

Greatest common factor (GCF) of 90930 and 90944 is 14.

GCF(90930,90944) = 14

We will now calculate the prime factors of 90930 and 90944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90930 and 90944.

How to find the GCF of 90930 and 90944?

We will first find the prime factorization of 90930 and 90944. After we will calculate the factors of 90930 and 90944 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 90944

Prime factors of 90944 are 2, 7, 29. Prime factorization of 90944 in exponential form is:

90944 = 2⁶ × 7² × 29¹

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 90944

List of positive integer factors of 90944 that divides 90930 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 49, 56, 58, 64, 98, 112, 116, 196, 203, 224, 232, 392, 406, 448, 464, 784, 812, 928, 1421, 1568, 1624, 1856, 2842, 3136, 3248, 5684, 6496, 11368, 12992, 22736, 45472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90930 and 90944. The biggest common factor number is the GCF number.
So the greatest common factor 90930 and 90944 is 14.

Also check out the Least Common Multiple of 90930 and 90944