What is the Greatest Common Factor of 90048 and 90057?

Greatest common factor (GCF) of 90048 and 90057 is 3.

GCF(90048,90057) = 3

We will now calculate the prime factors of 90048 and 90057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90048 and 90057.

How to find the GCF of 90048 and 90057?

We will first find the prime factorization of 90048 and 90057. After we will calculate the factors of 90048 and 90057 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90057

Prime factors of 90057 are 3, 11, 2729. Prime factorization of 90057 in exponential form is:

90057 = 3¹ × 11¹ × 2729¹

Step-3: Factors of 90048

List of positive integer factors of 90048 that divides 90048 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

Step-4: Factors of 90057

List of positive integer factors of 90057 that divides 90048 without a remainder.

1, 3, 11, 33, 2729, 8187, 30019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90048 and 90057. The biggest common factor number is the GCF number.
So the greatest common factor 90048 and 90057 is 3.

Also check out the Least Common Multiple of 90048 and 90057