What is the Greatest Common Factor of 88896 and 88913?

Greatest common factor (GCF) of 88896 and 88913 is 1.

GCF(88896,88913) = 1

We will now calculate the prime factors of 88896 and 88913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88896 and 88913.

How to find the GCF of 88896 and 88913?

We will first find the prime factorization of 88896 and 88913. After we will calculate the factors of 88896 and 88913 and find the biggest common factor number .

Step-1: Prime Factorization of 88896

Prime factors of 88896 are 2, 3, 463. Prime factorization of 88896 in exponential form is:

88896 = 2⁶ × 3¹ × 463¹

Step-2: Prime Factorization of 88913

Prime factors of 88913 are 11, 59, 137. Prime factorization of 88913 in exponential form is:

88913 = 11¹ × 59¹ × 137¹

Step-3: Factors of 88896

List of positive integer factors of 88896 that divides 88896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 463, 926, 1389, 1852, 2778, 3704, 5556, 7408, 11112, 14816, 22224, 29632, 44448

Step-4: Factors of 88913

List of positive integer factors of 88913 that divides 88896 without a remainder.

1, 11, 59, 137, 649, 1507, 8083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88896 and 88913. The biggest common factor number is the GCF number.
So the greatest common factor 88896 and 88913 is 1.

Also check out the Least Common Multiple of 88896 and 88913