What is the Greatest Common Factor of 73926 and 73930?

Greatest common factor (GCF) of 73926 and 73930 is 2.

GCF(73926,73930) = 2

We will now calculate the prime factors of 73926 and 73930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73926 and 73930.

How to find the GCF of 73926 and 73930?

We will first find the prime factorization of 73926 and 73930. After we will calculate the factors of 73926 and 73930 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 73930

Prime factors of 73930 are 2, 5, 7393. Prime factorization of 73930 in exponential form is:

73930 = 2¹ × 5¹ × 7393¹

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 73930

List of positive integer factors of 73930 that divides 73926 without a remainder.

1, 2, 5, 10, 7393, 14786, 36965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73926 and 73930. The biggest common factor number is the GCF number.
So the greatest common factor 73926 and 73930 is 2.

Also check out the Least Common Multiple of 73926 and 73930