What is the Greatest Common Factor of 82725 and 82740?

Greatest common factor (GCF) of 82725 and 82740 is 15.

GCF(82725,82740) = 15

We will now calculate the prime factors of 82725 and 82740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82725 and 82740.

How to find the GCF of 82725 and 82740?

We will first find the prime factorization of 82725 and 82740. After we will calculate the factors of 82725 and 82740 and find the biggest common factor number .

Step-1: Prime Factorization of 82725

Prime factors of 82725 are 3, 5, 1103. Prime factorization of 82725 in exponential form is:

82725 = 3¹ × 5² × 1103¹

Step-2: 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-3: Factors of 82725

List of positive integer factors of 82725 that divides 82725 without a remainder.

1, 3, 5, 15, 25, 75, 1103, 3309, 5515, 16545, 27575

Step-4: Factors of 82740

List of positive integer factors of 82740 that divides 82725 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82725 and 82740. The biggest common factor number is the GCF number.
So the greatest common factor 82725 and 82740 is 15.

Also check out the Least Common Multiple of 82725 and 82740