What is the Greatest Common Factor of 82052 and 82066?

Greatest common factor (GCF) of 82052 and 82066 is 2.

GCF(82052,82066) = 2

We will now calculate the prime factors of 82052 and 82066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82052 and 82066.

How to find the GCF of 82052 and 82066?

We will first find the prime factorization of 82052 and 82066. After we will calculate the factors of 82052 and 82066 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 82066

Prime factors of 82066 are 2, 37, 1109. Prime factorization of 82066 in exponential form is:

82066 = 2¹ × 37¹ × 1109¹

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 82066

List of positive integer factors of 82066 that divides 82052 without a remainder.

1, 2, 37, 74, 1109, 2218, 41033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82052 and 82066. The biggest common factor number is the GCF number.
So the greatest common factor 82052 and 82066 is 2.

Also check out the Least Common Multiple of 82052 and 82066