What is the Greatest Common Factor of 82740 and 82751?

Greatest common factor (GCF) of 82740 and 82751 is 1.

GCF(82740,82751) = 1

We will now calculate the prime factors of 82740 and 82751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82740 and 82751.

How to find the GCF of 82740 and 82751?

We will first find the prime factorization of 82740 and 82751. After we will calculate the factors of 82740 and 82751 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 82751

Prime factors of 82751 are 83, 997. Prime factorization of 82751 in exponential form is:

82751 = 83¹ × 997¹

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 82751

List of positive integer factors of 82751 that divides 82740 without a remainder.

1, 83, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82740 and 82751. The biggest common factor number is the GCF number.
So the greatest common factor 82740 and 82751 is 1.

Also check out the Least Common Multiple of 82740 and 82751