What is the Greatest Common Factor of 82412 and 82423?

Greatest common factor (GCF) of 82412 and 82423 is 11.

GCF(82412,82423) = 11

We will now calculate the prime factors of 82412 and 82423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82412 and 82423.

How to find the GCF of 82412 and 82423?

We will first find the prime factorization of 82412 and 82423. After we will calculate the factors of 82412 and 82423 and find the biggest common factor number .

Step-1: Prime Factorization of 82412

Prime factors of 82412 are 2, 11, 1873. Prime factorization of 82412 in exponential form is:

82412 = 2² × 11¹ × 1873¹

Step-2: Prime Factorization of 82423

Prime factors of 82423 are 11, 59, 127. Prime factorization of 82423 in exponential form is:

82423 = 11¹ × 59¹ × 127¹

Step-3: Factors of 82412

List of positive integer factors of 82412 that divides 82412 without a remainder.

1, 2, 4, 11, 22, 44, 1873, 3746, 7492, 20603, 41206

Step-4: Factors of 82423

List of positive integer factors of 82423 that divides 82412 without a remainder.

1, 11, 59, 127, 649, 1397, 7493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82412 and 82423. The biggest common factor number is the GCF number.
So the greatest common factor 82412 and 82423 is 11.

Also check out the Least Common Multiple of 82412 and 82423