What is the Greatest Common Factor of 82480 and 82492?

Greatest common factor (GCF) of 82480 and 82492 is 4.

GCF(82480,82492) = 4

We will now calculate the prime factors of 82480 and 82492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82480 and 82492.

How to find the GCF of 82480 and 82492?

We will first find the prime factorization of 82480 and 82492. After we will calculate the factors of 82480 and 82492 and find the biggest common factor number .

Step-1: Prime Factorization of 82480

Prime factors of 82480 are 2, 5, 1031. Prime factorization of 82480 in exponential form is:

82480 = 2⁴ × 5¹ × 1031¹

Step-2: Prime Factorization of 82492

Prime factors of 82492 are 2, 41, 503. Prime factorization of 82492 in exponential form is:

82492 = 2² × 41¹ × 503¹

Step-3: Factors of 82480

List of positive integer factors of 82480 that divides 82480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1031, 2062, 4124, 5155, 8248, 10310, 16496, 20620, 41240

Step-4: Factors of 82492

List of positive integer factors of 82492 that divides 82480 without a remainder.

1, 2, 4, 41, 82, 164, 503, 1006, 2012, 20623, 41246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82480 and 82492. The biggest common factor number is the GCF number.
So the greatest common factor 82480 and 82492 is 4.

Also check out the Least Common Multiple of 82480 and 82492