What is the Greatest Common Factor of 88992 and 88997?

Greatest common factor (GCF) of 88992 and 88997 is 1.

GCF(88992,88997) = 1

We will now calculate the prime factors of 88992 and 88997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88992 and 88997.

How to find the GCF of 88992 and 88997?

We will first find the prime factorization of 88992 and 88997. After we will calculate the factors of 88992 and 88997 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 88997

Prime factors of 88997 are 88997. Prime factorization of 88997 in exponential form is:

88997 = 88997¹

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 88997

List of positive integer factors of 88997 that divides 88992 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88992 and 88997. The biggest common factor number is the GCF number.
So the greatest common factor 88992 and 88997 is 1.

Also check out the Least Common Multiple of 88992 and 88997