What is the Greatest Common Factor of 73812 and 73828?

Greatest common factor (GCF) of 73812 and 73828 is 4.

GCF(73812,73828) = 4

We will now calculate the prime factors of 73812 and 73828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73812 and 73828.

How to find the GCF of 73812 and 73828?

We will first find the prime factorization of 73812 and 73828. After we will calculate the factors of 73812 and 73828 and find the biggest common factor number .

Step-1: Prime Factorization of 73812

Prime factors of 73812 are 2, 3, 6151. Prime factorization of 73812 in exponential form is:

73812 = 2² × 3¹ × 6151¹

Step-2: Prime Factorization of 73828

Prime factors of 73828 are 2, 18457. Prime factorization of 73828 in exponential form is:

73828 = 2² × 18457¹

Step-3: Factors of 73812

List of positive integer factors of 73812 that divides 73812 without a remainder.

1, 2, 3, 4, 6, 12, 6151, 12302, 18453, 24604, 36906

Step-4: Factors of 73828

List of positive integer factors of 73828 that divides 73812 without a remainder.

1, 2, 4, 18457, 36914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73812 and 73828. The biggest common factor number is the GCF number.
So the greatest common factor 73812 and 73828 is 4.

Also check out the Least Common Multiple of 73812 and 73828