What is the Greatest Common Factor of 82064 and 82070?

Greatest common factor (GCF) of 82064 and 82070 is 2.

GCF(82064,82070) = 2

We will now calculate the prime factors of 82064 and 82070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82064 and 82070.

How to find the GCF of 82064 and 82070?

We will first find the prime factorization of 82064 and 82070. After we will calculate the factors of 82064 and 82070 and find the biggest common factor number .

Step-1: Prime Factorization of 82064

Prime factors of 82064 are 2, 23, 223. Prime factorization of 82064 in exponential form is:

82064 = 2⁴ × 23¹ × 223¹

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 82064

List of positive integer factors of 82064 that divides 82064 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 223, 368, 446, 892, 1784, 3568, 5129, 10258, 20516, 41032

Step-4: Factors of 82070

List of positive integer factors of 82070 that divides 82064 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 82064 and 82070. The biggest common factor number is the GCF number.
So the greatest common factor 82064 and 82070 is 2.

Also check out the Least Common Multiple of 82064 and 82070