What is the Greatest Common Factor of 82516 and 82530?

Greatest common factor (GCF) of 82516 and 82530 is 14.

GCF(82516,82530) = 14

We will now calculate the prime factors of 82516 and 82530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82516 and 82530.

How to find the GCF of 82516 and 82530?

We will first find the prime factorization of 82516 and 82530. After we will calculate the factors of 82516 and 82530 and find the biggest common factor number .

Step-1: Prime Factorization of 82516

Prime factors of 82516 are 2, 7, 421. Prime factorization of 82516 in exponential form is:

82516 = 2² × 7² × 421¹

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 82516

List of positive integer factors of 82516 that divides 82516 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 421, 842, 1684, 2947, 5894, 11788, 20629, 41258

Step-4: Factors of 82530

List of positive integer factors of 82530 that divides 82516 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 82516 and 82530. The biggest common factor number is the GCF number.
So the greatest common factor 82516 and 82530 is 14.

Also check out the Least Common Multiple of 82516 and 82530