What is the Greatest Common Factor of 82076 and 82096?

Greatest common factor (GCF) of 82076 and 82096 is 4.

GCF(82076,82096) = 4

We will now calculate the prime factors of 82076 and 82096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82076 and 82096.

How to find the GCF of 82076 and 82096?

We will first find the prime factorization of 82076 and 82096. After we will calculate the factors of 82076 and 82096 and find the biggest common factor number .

Step-1: Prime Factorization of 82076

Prime factors of 82076 are 2, 17, 71. Prime factorization of 82076 in exponential form is:

82076 = 2² × 17² × 71¹

Step-2: Prime Factorization of 82096

Prime factors of 82096 are 2, 7, 733. Prime factorization of 82096 in exponential form is:

82096 = 2⁴ × 7¹ × 733¹

Step-3: Factors of 82076

List of positive integer factors of 82076 that divides 82076 without a remainder.

1, 2, 4, 17, 34, 68, 71, 142, 284, 289, 578, 1156, 1207, 2414, 4828, 20519, 41038

Step-4: Factors of 82096

List of positive integer factors of 82096 that divides 82076 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 733, 1466, 2932, 5131, 5864, 10262, 11728, 20524, 41048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82076 and 82096. The biggest common factor number is the GCF number.
So the greatest common factor 82076 and 82096 is 4.

Also check out the Least Common Multiple of 82076 and 82096