What is the Greatest Common Factor of 73932 and 73938?

Greatest common factor (GCF) of 73932 and 73938 is 6.

GCF(73932,73938) = 6

We will now calculate the prime factors of 73932 and 73938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73932 and 73938.

How to find the GCF of 73932 and 73938?

We will first find the prime factorization of 73932 and 73938. After we will calculate the factors of 73932 and 73938 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73938

Prime factors of 73938 are 2, 3, 12323. Prime factorization of 73938 in exponential form is:

73938 = 2¹ × 3¹ × 12323¹

Step-3: Factors of 73932

List of positive integer factors of 73932 that divides 73932 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

Step-4: Factors of 73938

List of positive integer factors of 73938 that divides 73932 without a remainder.

1, 2, 3, 6, 12323, 24646, 36969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73932 and 73938. The biggest common factor number is the GCF number.
So the greatest common factor 73932 and 73938 is 6.

Also check out the Least Common Multiple of 73932 and 73938