What is the Greatest Common Factor of 89748 and 89768?

Greatest common factor (GCF) of 89748 and 89768 is 4.

GCF(89748,89768) = 4

We will now calculate the prime factors of 89748 and 89768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89748 and 89768.

How to find the GCF of 89748 and 89768?

We will first find the prime factorization of 89748 and 89768. After we will calculate the factors of 89748 and 89768 and find the biggest common factor number .

Step-1: Prime Factorization of 89748

Prime factors of 89748 are 2, 3, 277. Prime factorization of 89748 in exponential form is:

89748 = 2² × 3⁴ × 277¹

Step-2: 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-3: Factors of 89748

List of positive integer factors of 89748 that divides 89748 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 277, 324, 554, 831, 1108, 1662, 2493, 3324, 4986, 7479, 9972, 14958, 22437, 29916, 44874

Step-4: Factors of 89768

List of positive integer factors of 89768 that divides 89748 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89748 and 89768. The biggest common factor number is the GCF number.
So the greatest common factor 89748 and 89768 is 4.

Also check out the Least Common Multiple of 89748 and 89768