What is the Greatest Common Factor of 89733 and 89748?

Greatest common factor (GCF) of 89733 and 89748 is 3.

GCF(89733,89748) = 3

We will now calculate the prime factors of 89733 and 89748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89733 and 89748.

How to find the GCF of 89733 and 89748?

We will first find the prime factorization of 89733 and 89748. After we will calculate the factors of 89733 and 89748 and find the biggest common factor number .

Step-1: Prime Factorization of 89733

Prime factors of 89733 are 3, 7, 4273. Prime factorization of 89733 in exponential form is:

89733 = 3¹ × 7¹ × 4273¹

Step-2: 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-3: Factors of 89733

List of positive integer factors of 89733 that divides 89733 without a remainder.

1, 3, 7, 21, 4273, 12819, 29911

Step-4: Factors of 89748

List of positive integer factors of 89748 that divides 89733 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89733 and 89748. The biggest common factor number is the GCF number.
So the greatest common factor 89733 and 89748 is 3.

Also check out the Least Common Multiple of 89733 and 89748