What is the Greatest Common Factor of 82034 and 82052?

Greatest common factor (GCF) of 82034 and 82052 is 2.

GCF(82034,82052) = 2

We will now calculate the prime factors of 82034 and 82052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82034 and 82052.

How to find the GCF of 82034 and 82052?

We will first find the prime factorization of 82034 and 82052. After we will calculate the factors of 82034 and 82052 and find the biggest common factor number .

Step-1: Prime Factorization of 82034

Prime factors of 82034 are 2, 41017. Prime factorization of 82034 in exponential form is:

82034 = 2¹ × 41017¹

Step-2: 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-3: Factors of 82034

List of positive integer factors of 82034 that divides 82034 without a remainder.

1, 2, 41017

Step-4: Factors of 82052

List of positive integer factors of 82052 that divides 82034 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82034 and 82052. The biggest common factor number is the GCF number.
So the greatest common factor 82034 and 82052 is 2.

Also check out the Least Common Multiple of 82034 and 82052