What is the Greatest Common Factor of 90032 and 90048?

Greatest common factor (GCF) of 90032 and 90048 is 16.

GCF(90032,90048) = 16

We will now calculate the prime factors of 90032 and 90048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90032 and 90048.

How to find the GCF of 90032 and 90048?

We will first find the prime factorization of 90032 and 90048. After we will calculate the factors of 90032 and 90048 and find the biggest common factor number .

Step-1: Prime Factorization of 90032

Prime factors of 90032 are 2, 17, 331. Prime factorization of 90032 in exponential form is:

90032 = 2⁴ × 17¹ × 331¹

Step-2: Prime Factorization of 90048

Prime factors of 90048 are 2, 3, 7, 67. Prime factorization of 90048 in exponential form is:

90048 = 2⁶ × 3¹ × 7¹ × 67¹

Step-3: Factors of 90032

List of positive integer factors of 90032 that divides 90032 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 331, 662, 1324, 2648, 5296, 5627, 11254, 22508, 45016

Step-4: Factors of 90048

List of positive integer factors of 90048 that divides 90032 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 67, 84, 96, 112, 134, 168, 192, 201, 224, 268, 336, 402, 448, 469, 536, 672, 804, 938, 1072, 1344, 1407, 1608, 1876, 2144, 2814, 3216, 3752, 4288, 5628, 6432, 7504, 11256, 12864, 15008, 22512, 30016, 45024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90032 and 90048. The biggest common factor number is the GCF number.
So the greatest common factor 90032 and 90048 is 16.

Also check out the Least Common Multiple of 90032 and 90048