What is the Greatest Common Factor of 82740 and 82750?

Greatest common factor (GCF) of 82740 and 82750 is 10.

GCF(82740,82750) = 10

We will now calculate the prime factors of 82740 and 82750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82740 and 82750.

How to find the GCF of 82740 and 82750?

We will first find the prime factorization of 82740 and 82750. After we will calculate the factors of 82740 and 82750 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 82750

Prime factors of 82750 are 2, 5, 331. Prime factorization of 82750 in exponential form is:

82750 = 2¹ × 5³ × 331¹

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 82750

List of positive integer factors of 82750 that divides 82740 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 331, 662, 1655, 3310, 8275, 16550, 41375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82740 and 82750. The biggest common factor number is the GCF number.
So the greatest common factor 82740 and 82750 is 10.

Also check out the Least Common Multiple of 82740 and 82750