What is the Greatest Common Factor of 88986 and 88992?

Greatest common factor (GCF) of 88986 and 88992 is 6.

GCF(88986,88992) = 6

We will now calculate the prime factors of 88986 and 88992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88986 and 88992.

How to find the GCF of 88986 and 88992?

We will first find the prime factorization of 88986 and 88992. After we will calculate the factors of 88986 and 88992 and find the biggest common factor number .

Step-1: Prime Factorization of 88986

Prime factors of 88986 are 2, 3, 14831. Prime factorization of 88986 in exponential form is:

88986 = 2¹ × 3¹ × 14831¹

Step-2: 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-3: Factors of 88986

List of positive integer factors of 88986 that divides 88986 without a remainder.

1, 2, 3, 6, 14831, 29662, 44493

Step-4: Factors of 88992

List of positive integer factors of 88992 that divides 88986 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88986 and 88992. The biggest common factor number is the GCF number.
So the greatest common factor 88986 and 88992 is 6.

Also check out the Least Common Multiple of 88986 and 88992