What is the Greatest Common Factor of 88992 and 89012?

Greatest common factor (GCF) of 88992 and 89012 is 4.

GCF(88992,89012) = 4

We will now calculate the prime factors of 88992 and 89012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88992 and 89012.

How to find the GCF of 88992 and 89012?

We will first find the prime factorization of 88992 and 89012. After we will calculate the factors of 88992 and 89012 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 89012

Prime factors of 89012 are 2, 7, 11, 17. Prime factorization of 89012 in exponential form is:

89012 = 2² × 7¹ × 11¹ × 17²

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 89012

List of positive integer factors of 89012 that divides 88992 without a remainder.

1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 289, 308, 374, 476, 578, 748, 1156, 1309, 2023, 2618, 3179, 4046, 5236, 6358, 8092, 12716, 22253, 44506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88992 and 89012. The biggest common factor number is the GCF number.
So the greatest common factor 88992 and 89012 is 4.

Also check out the Least Common Multiple of 88992 and 89012