What is the Greatest Common Factor of 82070 and 82085?

Greatest common factor (GCF) of 82070 and 82085 is 5.

GCF(82070,82085) = 5

We will now calculate the prime factors of 82070 and 82085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82070 and 82085.

How to find the GCF of 82070 and 82085?

We will first find the prime factorization of 82070 and 82085. After we will calculate the factors of 82070 and 82085 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82085

Prime factors of 82085 are 5, 16417. Prime factorization of 82085 in exponential form is:

82085 = 5¹ × 16417¹

Step-3: Factors of 82070

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

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

Step-4: Factors of 82085

List of positive integer factors of 82085 that divides 82070 without a remainder.

1, 5, 16417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82070 and 82085. The biggest common factor number is the GCF number.
So the greatest common factor 82070 and 82085 is 5.

Also check out the Least Common Multiple of 82070 and 82085