What is the Greatest Common Factor of 73926 and 73934?

Greatest common factor (GCF) of 73926 and 73934 is 2.

GCF(73926,73934) = 2

We will now calculate the prime factors of 73926 and 73934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73926 and 73934.

How to find the GCF of 73926 and 73934?

We will first find the prime factorization of 73926 and 73934. After we will calculate the factors of 73926 and 73934 and find the biggest common factor number .

Step-1: Prime Factorization of 73926

Prime factors of 73926 are 2, 3, 37. Prime factorization of 73926 in exponential form is:

73926 = 2¹ × 3³ × 37²

Step-2: Prime Factorization of 73934

Prime factors of 73934 are 2, 7, 5281. Prime factorization of 73934 in exponential form is:

73934 = 2¹ × 7¹ × 5281¹

Step-3: Factors of 73926

List of positive integer factors of 73926 that divides 73926 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1369, 1998, 2738, 4107, 8214, 12321, 24642, 36963

Step-4: Factors of 73934

List of positive integer factors of 73934 that divides 73926 without a remainder.

1, 2, 7, 14, 5281, 10562, 36967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73926 and 73934. The biggest common factor number is the GCF number.
So the greatest common factor 73926 and 73934 is 2.

Also check out the Least Common Multiple of 73926 and 73934