What is the Greatest Common Factor of 89984 and 90003?

Greatest common factor (GCF) of 89984 and 90003 is 19.

GCF(89984,90003) = 19

We will now calculate the prime factors of 89984 and 90003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89984 and 90003.

How to find the GCF of 89984 and 90003?

We will first find the prime factorization of 89984 and 90003. After we will calculate the factors of 89984 and 90003 and find the biggest common factor number .

Step-1: Prime Factorization of 89984

Prime factors of 89984 are 2, 19, 37. Prime factorization of 89984 in exponential form is:

89984 = 2⁷ × 19¹ × 37¹

Step-2: Prime Factorization of 90003

Prime factors of 90003 are 3, 19, 1579. Prime factorization of 90003 in exponential form is:

90003 = 3¹ × 19¹ × 1579¹

Step-3: Factors of 89984

List of positive integer factors of 89984 that divides 89984 without a remainder.

1, 2, 4, 8, 16, 19, 32, 37, 38, 64, 74, 76, 128, 148, 152, 296, 304, 592, 608, 703, 1184, 1216, 1406, 2368, 2432, 2812, 4736, 5624, 11248, 22496, 44992

Step-4: Factors of 90003

List of positive integer factors of 90003 that divides 89984 without a remainder.

1, 3, 19, 57, 1579, 4737, 30001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89984 and 90003. The biggest common factor number is the GCF number.
So the greatest common factor 89984 and 90003 is 19.

Also check out the Least Common Multiple of 89984 and 90003