What is the Greatest Common Factor of 82832 and 82840?

Greatest common factor (GCF) of 82832 and 82840 is 8.

GCF(82832,82840) = 8

We will now calculate the prime factors of 82832 and 82840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82832 and 82840.

How to find the GCF of 82832 and 82840?

We will first find the prime factorization of 82832 and 82840. After we will calculate the factors of 82832 and 82840 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82840

Prime factors of 82840 are 2, 5, 19, 109. Prime factorization of 82840 in exponential form is:

82840 = 2³ × 5¹ × 19¹ × 109¹

Step-3: Factors of 82832

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

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

Step-4: Factors of 82840

List of positive integer factors of 82840 that divides 82832 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 109, 152, 190, 218, 380, 436, 545, 760, 872, 1090, 2071, 2180, 4142, 4360, 8284, 10355, 16568, 20710, 41420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82832 and 82840. The biggest common factor number is the GCF number.
So the greatest common factor 82832 and 82840 is 8.

Also check out the Least Common Multiple of 82832 and 82840