What is the Greatest Common Factor of 82032 and 82052?

Greatest common factor (GCF) of 82032 and 82052 is 4.

GCF(82032,82052) = 4

We will now calculate the prime factors of 82032 and 82052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82032 and 82052.

How to find the GCF of 82032 and 82052?

We will first find the prime factorization of 82032 and 82052. After we will calculate the factors of 82032 and 82052 and find the biggest common factor number .

Step-1: Prime Factorization of 82032

Prime factors of 82032 are 2, 3, 1709. Prime factorization of 82032 in exponential form is:

82032 = 2⁴ × 3¹ × 1709¹

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 82032

List of positive integer factors of 82032 that divides 82032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1709, 3418, 5127, 6836, 10254, 13672, 20508, 27344, 41016

Step-4: Factors of 82052

List of positive integer factors of 82052 that divides 82032 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 82032 and 82052. The biggest common factor number is the GCF number.
So the greatest common factor 82032 and 82052 is 4.

Also check out the Least Common Multiple of 82032 and 82052