What is the Greatest Common Factor of 89768 and 89776?

Greatest common factor (GCF) of 89768 and 89776 is 8.

GCF(89768,89776) = 8

We will now calculate the prime factors of 89768 and 89776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89768 and 89776.

How to find the GCF of 89768 and 89776?

We will first find the prime factorization of 89768 and 89776. After we will calculate the factors of 89768 and 89776 and find the biggest common factor number .

Step-1: Prime Factorization of 89768

Prime factors of 89768 are 2, 7, 229. Prime factorization of 89768 in exponential form is:

89768 = 2³ × 7² × 229¹

Step-2: Prime Factorization of 89776

Prime factors of 89776 are 2, 31, 181. Prime factorization of 89776 in exponential form is:

89776 = 2⁴ × 31¹ × 181¹

Step-3: Factors of 89768

List of positive integer factors of 89768 that divides 89768 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 229, 392, 458, 916, 1603, 1832, 3206, 6412, 11221, 12824, 22442, 44884

Step-4: Factors of 89776

List of positive integer factors of 89776 that divides 89768 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 181, 248, 362, 496, 724, 1448, 2896, 5611, 11222, 22444, 44888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89768 and 89776. The biggest common factor number is the GCF number.
So the greatest common factor 89768 and 89776 is 8.

Also check out the Least Common Multiple of 89768 and 89776