What is the Greatest Common Factor of 82052 and 82064?

Greatest common factor (GCF) of 82052 and 82064 is 4.

GCF(82052,82064) = 4

We will now calculate the prime factors of 82052 and 82064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82052 and 82064.

How to find the GCF of 82052 and 82064?

We will first find the prime factorization of 82052 and 82064. After we will calculate the factors of 82052 and 82064 and find the biggest common factor number .

Step-1: Prime Factorization of 82052

Prime factors of 82052 are 2, 73, 281. Prime factorization of 82052 in exponential form is:

82052 = 2² × 73¹ × 281¹

Step-2: 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-3: Factors of 82052

List of positive integer factors of 82052 that divides 82052 without a remainder.

1, 2, 4, 73, 146, 281, 292, 562, 1124, 20513, 41026

Step-4: Factors of 82064

List of positive integer factors of 82064 that divides 82052 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82052 and 82064. The biggest common factor number is the GCF number.
So the greatest common factor 82052 and 82064 is 4.

Also check out the Least Common Multiple of 82052 and 82064