What is the Greatest Common Factor of 89984 and 90004?

Greatest common factor (GCF) of 89984 and 90004 is 4.

GCF(89984,90004) = 4

We will now calculate the prime factors of 89984 and 90004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89984 and 90004.

How to find the GCF of 89984 and 90004?

We will first find the prime factorization of 89984 and 90004. After we will calculate the factors of 89984 and 90004 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 90004

Prime factors of 90004 are 2, 22501. Prime factorization of 90004 in exponential form is:

90004 = 2² × 22501¹

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 90004

List of positive integer factors of 90004 that divides 89984 without a remainder.

1, 2, 4, 22501, 45002

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89984 and 90004. The biggest common factor number is the GCF number.
So the greatest common factor 89984 and 90004 is 4.

Also check out the Least Common Multiple of 89984 and 90004