What is the Greatest Common Factor of 89724 and 89733?

Greatest common factor (GCF) of 89724 and 89733 is 3.

GCF(89724,89733) = 3

We will now calculate the prime factors of 89724 and 89733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89724 and 89733.

How to find the GCF of 89724 and 89733?

We will first find the prime factorization of 89724 and 89733. After we will calculate the factors of 89724 and 89733 and find the biggest common factor number .

Step-1: Prime Factorization of 89724

Prime factors of 89724 are 2, 3, 7477. Prime factorization of 89724 in exponential form is:

89724 = 2² × 3¹ × 7477¹

Step-2: 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-3: Factors of 89724

List of positive integer factors of 89724 that divides 89724 without a remainder.

1, 2, 3, 4, 6, 12, 7477, 14954, 22431, 29908, 44862

Step-4: Factors of 89733

List of positive integer factors of 89733 that divides 89724 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89724 and 89733. The biggest common factor number is the GCF number.
So the greatest common factor 89724 and 89733 is 3.

Also check out the Least Common Multiple of 89724 and 89733