What is the Greatest Common Factor of 82462 and 82480?

Greatest common factor (GCF) of 82462 and 82480 is 2.

GCF(82462,82480) = 2

We will now calculate the prime factors of 82462 and 82480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82462 and 82480.

How to find the GCF of 82462 and 82480?

We will first find the prime factorization of 82462 and 82480. After we will calculate the factors of 82462 and 82480 and find the biggest common factor number .

Step-1: Prime Factorization of 82462

Prime factors of 82462 are 2, 41231. Prime factorization of 82462 in exponential form is:

82462 = 2¹ × 41231¹

Step-2: 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-3: Factors of 82462

List of positive integer factors of 82462 that divides 82462 without a remainder.

1, 2, 41231

Step-4: Factors of 82480

List of positive integer factors of 82480 that divides 82462 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82462 and 82480. The biggest common factor number is the GCF number.
So the greatest common factor 82462 and 82480 is 2.

Also check out the Least Common Multiple of 82462 and 82480