What is the Greatest Common Factor of 82530 and 82540?

Greatest common factor (GCF) of 82530 and 82540 is 10.

GCF(82530,82540) = 10

We will now calculate the prime factors of 82530 and 82540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82530 and 82540.

How to find the GCF of 82530 and 82540?

We will first find the prime factorization of 82530 and 82540. After we will calculate the factors of 82530 and 82540 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82540

Prime factors of 82540 are 2, 5, 4127. Prime factorization of 82540 in exponential form is:

82540 = 2² × 5¹ × 4127¹

Step-3: Factors of 82530

List of positive integer factors of 82530 that divides 82530 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

Step-4: Factors of 82540

List of positive integer factors of 82540 that divides 82530 without a remainder.

1, 2, 4, 5, 10, 20, 4127, 8254, 16508, 20635, 41270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82530 and 82540. The biggest common factor number is the GCF number.
So the greatest common factor 82530 and 82540 is 10.

Also check out the Least Common Multiple of 82530 and 82540