What is the Greatest Common Factor of 40733 and 40744?

Greatest common factor (GCF) of 40733 and 40744 is 11.

GCF(40733,40744) = 11

We will now calculate the prime factors of 40733 and 40744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40733 and 40744.

How to find the GCF of 40733 and 40744?

We will first find the prime factorization of 40733 and 40744. After we will calculate the factors of 40733 and 40744 and find the biggest common factor number .

Step-1: Prime Factorization of 40733

Prime factors of 40733 are 7, 11, 23. Prime factorization of 40733 in exponential form is:

40733 = 7¹ × 11¹ × 23²

Step-2: Prime Factorization of 40744

Prime factors of 40744 are 2, 11, 463. Prime factorization of 40744 in exponential form is:

40744 = 2³ × 11¹ × 463¹

Step-3: Factors of 40733

List of positive integer factors of 40733 that divides 40733 without a remainder.

1, 7, 11, 23, 77, 161, 253, 529, 1771, 3703, 5819

Step-4: Factors of 40744

List of positive integer factors of 40744 that divides 40733 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 463, 926, 1852, 3704, 5093, 10186, 20372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40733 and 40744. The biggest common factor number is the GCF number.
So the greatest common factor 40733 and 40744 is 11.

Also check out the Least Common Multiple of 40733 and 40744