What is the Greatest Common Factor of 73766 and 73772?

Greatest common factor (GCF) of 73766 and 73772 is 2.

GCF(73766,73772) = 2

We will now calculate the prime factors of 73766 and 73772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73766 and 73772.

How to find the GCF of 73766 and 73772?

We will first find the prime factorization of 73766 and 73772. After we will calculate the factors of 73766 and 73772 and find the biggest common factor number .

Step-1: Prime Factorization of 73766

Prime factors of 73766 are 2, 7, 11, 479. Prime factorization of 73766 in exponential form is:

73766 = 2¹ × 7¹ × 11¹ × 479¹

Step-2: Prime Factorization of 73772

Prime factors of 73772 are 2, 18443. Prime factorization of 73772 in exponential form is:

73772 = 2² × 18443¹

Step-3: Factors of 73766

List of positive integer factors of 73766 that divides 73766 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 479, 958, 3353, 5269, 6706, 10538, 36883

Step-4: Factors of 73772

List of positive integer factors of 73772 that divides 73766 without a remainder.

1, 2, 4, 18443, 36886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73766 and 73772. The biggest common factor number is the GCF number.
So the greatest common factor 73766 and 73772 is 2.

Also check out the Least Common Multiple of 73766 and 73772