What is the Greatest Common Factor of 82740 and 82756?

Greatest common factor (GCF) of 82740 and 82756 is 4.

GCF(82740,82756) = 4

We will now calculate the prime factors of 82740 and 82756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82740 and 82756.

How to find the GCF of 82740 and 82756?

We will first find the prime factorization of 82740 and 82756. After we will calculate the factors of 82740 and 82756 and find the biggest common factor number .

Step-1: Prime Factorization of 82740

Prime factors of 82740 are 2, 3, 5, 7, 197. Prime factorization of 82740 in exponential form is:

82740 = 2² × 3¹ × 5¹ × 7¹ × 197¹

Step-2: Prime Factorization of 82756

Prime factors of 82756 are 2, 17, 1217. Prime factorization of 82756 in exponential form is:

82756 = 2² × 17¹ × 1217¹

Step-3: Factors of 82740

List of positive integer factors of 82740 that divides 82740 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 197, 210, 394, 420, 591, 788, 985, 1182, 1379, 1970, 2364, 2758, 2955, 3940, 4137, 5516, 5910, 6895, 8274, 11820, 13790, 16548, 20685, 27580, 41370

Step-4: Factors of 82756

List of positive integer factors of 82756 that divides 82740 without a remainder.

1, 2, 4, 17, 34, 68, 1217, 2434, 4868, 20689, 41378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82740 and 82756. The biggest common factor number is the GCF number.
So the greatest common factor 82740 and 82756 is 4.

Also check out the Least Common Multiple of 82740 and 82756