What is the Greatest Common Factor of 90029 and 90048?

Greatest common factor (GCF) of 90029 and 90048 is 1.

GCF(90029,90048) = 1

We will now calculate the prime factors of 90029 and 90048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90029 and 90048.

How to find the GCF of 90029 and 90048?

We will first find the prime factorization of 90029 and 90048. After we will calculate the factors of 90029 and 90048 and find the biggest common factor number .

Step-1: Prime Factorization of 90029

Prime factors of 90029 are 197, 457. Prime factorization of 90029 in exponential form is:

90029 = 197¹ × 457¹

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 90029

List of positive integer factors of 90029 that divides 90029 without a remainder.

1, 197, 457

Step-4: Factors of 90048

List of positive integer factors of 90048 that divides 90029 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 90029 and 90048. The biggest common factor number is the GCF number.
So the greatest common factor 90029 and 90048 is 1.

Also check out the Least Common Multiple of 90029 and 90048