What is the Greatest Common Factor of 82820 and 82832?

Greatest common factor (GCF) of 82820 and 82832 is 4.

GCF(82820,82832) = 4

We will now calculate the prime factors of 82820 and 82832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82820 and 82832.

How to find the GCF of 82820 and 82832?

We will first find the prime factorization of 82820 and 82832. After we will calculate the factors of 82820 and 82832 and find the biggest common factor number .

Step-1: Prime Factorization of 82820

Prime factors of 82820 are 2, 5, 41, 101. Prime factorization of 82820 in exponential form is:

82820 = 2² × 5¹ × 41¹ × 101¹

Step-2: Prime Factorization of 82832

Prime factors of 82832 are 2, 31, 167. Prime factorization of 82832 in exponential form is:

82832 = 2⁴ × 31¹ × 167¹

Step-3: Factors of 82820

List of positive integer factors of 82820 that divides 82820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 101, 164, 202, 205, 404, 410, 505, 820, 1010, 2020, 4141, 8282, 16564, 20705, 41410

Step-4: Factors of 82832

List of positive integer factors of 82832 that divides 82820 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 167, 248, 334, 496, 668, 1336, 2672, 5177, 10354, 20708, 41416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82820 and 82832. The biggest common factor number is the GCF number.
So the greatest common factor 82820 and 82832 is 4.

Also check out the Least Common Multiple of 82820 and 82832