What is the Greatest Common Factor of 73926 and 73932?

Greatest common factor (GCF) of 73926 and 73932 is 6.

GCF(73926,73932) = 6

We will now calculate the prime factors of 73926 and 73932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73926 and 73932.

How to find the GCF of 73926 and 73932?

We will first find the prime factorization of 73926 and 73932. After we will calculate the factors of 73926 and 73932 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 73932

Prime factors of 73932 are 2, 3, 61, 101. Prime factorization of 73932 in exponential form is:

73932 = 2² × 3¹ × 61¹ × 101¹

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 73932

List of positive integer factors of 73932 that divides 73926 without a remainder.

1, 2, 3, 4, 6, 12, 61, 101, 122, 183, 202, 244, 303, 366, 404, 606, 732, 1212, 6161, 12322, 18483, 24644, 36966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73926 and 73932. The biggest common factor number is the GCF number.
So the greatest common factor 73926 and 73932 is 6.

Also check out the Least Common Multiple of 73926 and 73932