What is the Greatest Common Factor of 82434 and 82452?

Greatest common factor (GCF) of 82434 and 82452 is 6.

GCF(82434,82452) = 6

We will now calculate the prime factors of 82434 and 82452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82434 and 82452.

How to find the GCF of 82434 and 82452?

We will first find the prime factorization of 82434 and 82452. After we will calculate the factors of 82434 and 82452 and find the biggest common factor number .

Step-1: Prime Factorization of 82434

Prime factors of 82434 are 2, 3, 11, 1249. Prime factorization of 82434 in exponential form is:

82434 = 2¹ × 3¹ × 11¹ × 1249¹

Step-2: Prime Factorization of 82452

Prime factors of 82452 are 2, 3, 6871. Prime factorization of 82452 in exponential form is:

82452 = 2² × 3¹ × 6871¹

Step-3: Factors of 82434

List of positive integer factors of 82434 that divides 82434 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1249, 2498, 3747, 7494, 13739, 27478, 41217

Step-4: Factors of 82452

List of positive integer factors of 82452 that divides 82434 without a remainder.

1, 2, 3, 4, 6, 12, 6871, 13742, 20613, 27484, 41226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82434 and 82452. The biggest common factor number is the GCF number.
So the greatest common factor 82434 and 82452 is 6.

Also check out the Least Common Multiple of 82434 and 82452