What is the Greatest Common Factor of 82452 and 82464?

Greatest common factor (GCF) of 82452 and 82464 is 12.

GCF(82452,82464) = 12

We will now calculate the prime factors of 82452 and 82464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82452 and 82464.

How to find the GCF of 82452 and 82464?

We will first find the prime factorization of 82452 and 82464. After we will calculate the factors of 82452 and 82464 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82464

Prime factors of 82464 are 2, 3, 859. Prime factorization of 82464 in exponential form is:

82464 = 2⁵ × 3¹ × 859¹

Step-3: Factors of 82452

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

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

Step-4: Factors of 82464

List of positive integer factors of 82464 that divides 82452 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 859, 1718, 2577, 3436, 5154, 6872, 10308, 13744, 20616, 27488, 41232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82452 and 82464. The biggest common factor number is the GCF number.
So the greatest common factor 82452 and 82464 is 12.

Also check out the Least Common Multiple of 82452 and 82464