What is the Greatest Common Factor of 82635 and 82650?

Greatest common factor (GCF) of 82635 and 82650 is 15.

GCF(82635,82650) = 15

We will now calculate the prime factors of 82635 and 82650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82635 and 82650.

How to find the GCF of 82635 and 82650?

We will first find the prime factorization of 82635 and 82650. After we will calculate the factors of 82635 and 82650 and find the biggest common factor number .

Step-1: Prime Factorization of 82635

Prime factors of 82635 are 3, 5, 7, 787. Prime factorization of 82635 in exponential form is:

82635 = 3¹ × 5¹ × 7¹ × 787¹

Step-2: Prime Factorization of 82650

Prime factors of 82650 are 2, 3, 5, 19, 29. Prime factorization of 82650 in exponential form is:

82650 = 2¹ × 3¹ × 5² × 19¹ × 29¹

Step-3: Factors of 82635

List of positive integer factors of 82635 that divides 82635 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 787, 2361, 3935, 5509, 11805, 16527, 27545

Step-4: Factors of 82650

List of positive integer factors of 82650 that divides 82635 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 25, 29, 30, 38, 50, 57, 58, 75, 87, 95, 114, 145, 150, 174, 190, 285, 290, 435, 475, 551, 570, 725, 870, 950, 1102, 1425, 1450, 1653, 2175, 2755, 2850, 3306, 4350, 5510, 8265, 13775, 16530, 27550, 41325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82635 and 82650. The biggest common factor number is the GCF number.
So the greatest common factor 82635 and 82650 is 15.

Also check out the Least Common Multiple of 82635 and 82650