What is the Greatest Common Factor of 73932 and 73940?

Greatest common factor (GCF) of 73932 and 73940 is 4.

GCF(73932,73940) = 4

We will now calculate the prime factors of 73932 and 73940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73932 and 73940.

How to find the GCF of 73932 and 73940?

We will first find the prime factorization of 73932 and 73940. After we will calculate the factors of 73932 and 73940 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 73940

Prime factors of 73940 are 2, 5, 3697. Prime factorization of 73940 in exponential form is:

73940 = 2² × 5¹ × 3697¹

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 73940

List of positive integer factors of 73940 that divides 73932 without a remainder.

1, 2, 4, 5, 10, 20, 3697, 7394, 14788, 18485, 36970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73932 and 73940. The biggest common factor number is the GCF number.
So the greatest common factor 73932 and 73940 is 4.

Also check out the Least Common Multiple of 73932 and 73940