What is the Greatest Common Factor of 82058 and 82068?

Greatest common factor (GCF) of 82058 and 82068 is 2.

GCF(82058,82068) = 2

We will now calculate the prime factors of 82058 and 82068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82058 and 82068.

How to find the GCF of 82058 and 82068?

We will first find the prime factorization of 82058 and 82068. After we will calculate the factors of 82058 and 82068 and find the biggest common factor number .

Step-1: Prime Factorization of 82058

Prime factors of 82058 are 2, 89, 461. Prime factorization of 82058 in exponential form is:

82058 = 2¹ × 89¹ × 461¹

Step-2: Prime Factorization of 82068

Prime factors of 82068 are 2, 3, 7, 977. Prime factorization of 82068 in exponential form is:

82068 = 2² × 3¹ × 7¹ × 977¹

Step-3: Factors of 82058

List of positive integer factors of 82058 that divides 82058 without a remainder.

1, 2, 89, 178, 461, 922, 41029

Step-4: Factors of 82068

List of positive integer factors of 82068 that divides 82058 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 977, 1954, 2931, 3908, 5862, 6839, 11724, 13678, 20517, 27356, 41034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82058 and 82068. The biggest common factor number is the GCF number.
So the greatest common factor 82058 and 82068 is 2.

Also check out the Least Common Multiple of 82058 and 82068