What is the Greatest Common Factor of 88992 and 89004?

Greatest common factor (GCF) of 88992 and 89004 is 12.

GCF(88992,89004) = 12

We will now calculate the prime factors of 88992 and 89004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88992 and 89004.

How to find the GCF of 88992 and 89004?

We will first find the prime factorization of 88992 and 89004. After we will calculate the factors of 88992 and 89004 and find the biggest common factor number .

Step-1: Prime Factorization of 88992

Prime factors of 88992 are 2, 3, 103. Prime factorization of 88992 in exponential form is:

88992 = 2⁵ × 3³ × 103¹

Step-2: Prime Factorization of 89004

Prime factors of 89004 are 2, 3, 7417. Prime factorization of 89004 in exponential form is:

89004 = 2² × 3¹ × 7417¹

Step-3: Factors of 88992

List of positive integer factors of 88992 that divides 88992 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 103, 108, 144, 206, 216, 288, 309, 412, 432, 618, 824, 864, 927, 1236, 1648, 1854, 2472, 2781, 3296, 3708, 4944, 5562, 7416, 9888, 11124, 14832, 22248, 29664, 44496

Step-4: Factors of 89004

List of positive integer factors of 89004 that divides 88992 without a remainder.

1, 2, 3, 4, 6, 12, 7417, 14834, 22251, 29668, 44502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88992 and 89004. The biggest common factor number is the GCF number.
So the greatest common factor 88992 and 89004 is 12.

Also check out the Least Common Multiple of 88992 and 89004