What is the Greatest Common Factor of 84733 and 84744?

Greatest common factor (GCF) of 84733 and 84744 is 11.

GCF(84733,84744) = 11

We will now calculate the prime factors of 84733 and 84744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84733 and 84744.

How to find the GCF of 84733 and 84744?

We will first find the prime factorization of 84733 and 84744. After we will calculate the factors of 84733 and 84744 and find the biggest common factor number .

Step-1: Prime Factorization of 84733

Prime factors of 84733 are 11, 7703. Prime factorization of 84733 in exponential form is:

84733 = 11¹ × 7703¹

Step-2: Prime Factorization of 84744

Prime factors of 84744 are 2, 3, 11, 107. Prime factorization of 84744 in exponential form is:

84744 = 2³ × 3² × 11¹ × 107¹

Step-3: Factors of 84733

List of positive integer factors of 84733 that divides 84733 without a remainder.

1, 11, 7703

Step-4: Factors of 84744

List of positive integer factors of 84744 that divides 84733 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 107, 132, 198, 214, 264, 321, 396, 428, 642, 792, 856, 963, 1177, 1284, 1926, 2354, 2568, 3531, 3852, 4708, 7062, 7704, 9416, 10593, 14124, 21186, 28248, 42372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84733 and 84744. The biggest common factor number is the GCF number.
So the greatest common factor 84733 and 84744 is 11.

Also check out the Least Common Multiple of 84733 and 84744