What is the Greatest Common Factor of 89733 and 89747?

Greatest common factor (GCF) of 89733 and 89747 is 7.

GCF(89733,89747) = 7

We will now calculate the prime factors of 89733 and 89747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89733 and 89747.

How to find the GCF of 89733 and 89747?

We will first find the prime factorization of 89733 and 89747. After we will calculate the factors of 89733 and 89747 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 89747

Prime factors of 89747 are 7, 12821. Prime factorization of 89747 in exponential form is:

89747 = 7¹ × 12821¹

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 89747

List of positive integer factors of 89747 that divides 89733 without a remainder.

1, 7, 12821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89733 and 89747. The biggest common factor number is the GCF number.
So the greatest common factor 89733 and 89747 is 7.

Also check out the Least Common Multiple of 89733 and 89747