What is the Greatest Common Factor of 82512 and 82530?

Greatest common factor (GCF) of 82512 and 82530 is 18.

GCF(82512,82530) = 18

We will now calculate the prime factors of 82512 and 82530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82512 and 82530.

How to find the GCF of 82512 and 82530?

We will first find the prime factorization of 82512 and 82530. After we will calculate the factors of 82512 and 82530 and find the biggest common factor number .

Step-1: Prime Factorization of 82512

Prime factors of 82512 are 2, 3, 191. Prime factorization of 82512 in exponential form is:

82512 = 2⁴ × 3³ × 191¹

Step-2: Prime Factorization of 82530

Prime factors of 82530 are 2, 3, 5, 7, 131. Prime factorization of 82530 in exponential form is:

82530 = 2¹ × 3² × 5¹ × 7¹ × 131¹

Step-3: Factors of 82512

List of positive integer factors of 82512 that divides 82512 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 191, 216, 382, 432, 573, 764, 1146, 1528, 1719, 2292, 3056, 3438, 4584, 5157, 6876, 9168, 10314, 13752, 20628, 27504, 41256

Step-4: Factors of 82530

List of positive integer factors of 82530 that divides 82512 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 131, 210, 262, 315, 393, 630, 655, 786, 917, 1179, 1310, 1834, 1965, 2358, 2751, 3930, 4585, 5502, 5895, 8253, 9170, 11790, 13755, 16506, 27510, 41265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82512 and 82530. The biggest common factor number is the GCF number.
So the greatest common factor 82512 and 82530 is 18.

Also check out the Least Common Multiple of 82512 and 82530