What is the Greatest Common Factor of 40722 and 40733?

Greatest common factor (GCF) of 40722 and 40733 is 11.

GCF(40722,40733) = 11

We will now calculate the prime factors of 40722 and 40733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40722 and 40733.

How to find the GCF of 40722 and 40733?

We will first find the prime factorization of 40722 and 40733. After we will calculate the factors of 40722 and 40733 and find the biggest common factor number .

Step-1: Prime Factorization of 40722

Prime factors of 40722 are 2, 3, 11, 617. Prime factorization of 40722 in exponential form is:

40722 = 2¹ × 3¹ × 11¹ × 617¹

Step-2: 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-3: Factors of 40722

List of positive integer factors of 40722 that divides 40722 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 617, 1234, 1851, 3702, 6787, 13574, 20361

Step-4: Factors of 40733

List of positive integer factors of 40733 that divides 40722 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40722 and 40733. The biggest common factor number is the GCF number.
So the greatest common factor 40722 and 40733 is 11.

Also check out the Least Common Multiple of 40722 and 40733