What is the Greatest Common Factor of 82058 and 82070?

Greatest common factor (GCF) of 82058 and 82070 is 2.

GCF(82058,82070) = 2

We will now calculate the prime factors of 82058 and 82070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82058 and 82070.

How to find the GCF of 82058 and 82070?

We will first find the prime factorization of 82058 and 82070. After we will calculate the factors of 82058 and 82070 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 82070

Prime factors of 82070 are 2, 5, 29, 283. Prime factorization of 82070 in exponential form is:

82070 = 2¹ × 5¹ × 29¹ × 283¹

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 82070

List of positive integer factors of 82070 that divides 82058 without a remainder.

1, 2, 5, 10, 29, 58, 145, 283, 290, 566, 1415, 2830, 8207, 16414, 41035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82058 and 82070. The biggest common factor number is the GCF number.
So the greatest common factor 82058 and 82070 is 2.

Also check out the Least Common Multiple of 82058 and 82070