What is the Greatest Common Factor of 73733 and 73744?

Greatest common factor (GCF) of 73733 and 73744 is 11.

GCF(73733,73744) = 11

We will now calculate the prime factors of 73733 and 73744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73733 and 73744.

How to find the GCF of 73733 and 73744?

We will first find the prime factorization of 73733 and 73744. After we will calculate the factors of 73733 and 73744 and find the biggest common factor number .

Step-1: Prime Factorization of 73733

Prime factors of 73733 are 11, 6703. Prime factorization of 73733 in exponential form is:

73733 = 11¹ × 6703¹

Step-2: Prime Factorization of 73744

Prime factors of 73744 are 2, 11, 419. Prime factorization of 73744 in exponential form is:

73744 = 2⁴ × 11¹ × 419¹

Step-3: Factors of 73733

List of positive integer factors of 73733 that divides 73733 without a remainder.

1, 11, 6703

Step-4: Factors of 73744

List of positive integer factors of 73744 that divides 73733 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 419, 838, 1676, 3352, 4609, 6704, 9218, 18436, 36872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73733 and 73744. The biggest common factor number is the GCF number.
So the greatest common factor 73733 and 73744 is 11.

Also check out the Least Common Multiple of 73733 and 73744