What is the Greatest Common Factor of 82452 and 82461?

Greatest common factor (GCF) of 82452 and 82461 is 3.

GCF(82452,82461) = 3

We will now calculate the prime factors of 82452 and 82461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82452 and 82461.

How to find the GCF of 82452 and 82461?

We will first find the prime factorization of 82452 and 82461. After we will calculate the factors of 82452 and 82461 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 82461

Prime factors of 82461 are 3, 27487. Prime factorization of 82461 in exponential form is:

82461 = 3¹ × 27487¹

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 82461

List of positive integer factors of 82461 that divides 82452 without a remainder.

1, 3, 27487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82452 and 82461. The biggest common factor number is the GCF number.
So the greatest common factor 82452 and 82461 is 3.

Also check out the Least Common Multiple of 82452 and 82461