What is the Greatest Common Factor of 82640 and 82650?

Greatest common factor (GCF) of 82640 and 82650 is 10.

GCF(82640,82650) = 10

We will now calculate the prime factors of 82640 and 82650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82640 and 82650.

How to find the GCF of 82640 and 82650?

We will first find the prime factorization of 82640 and 82650. After we will calculate the factors of 82640 and 82650 and find the biggest common factor number .

Step-1: Prime Factorization of 82640

Prime factors of 82640 are 2, 5, 1033. Prime factorization of 82640 in exponential form is:

82640 = 2⁴ × 5¹ × 1033¹

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 82640

List of positive integer factors of 82640 that divides 82640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1033, 2066, 4132, 5165, 8264, 10330, 16528, 20660, 41320

Step-4: Factors of 82650

List of positive integer factors of 82650 that divides 82640 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 82640 and 82650. The biggest common factor number is the GCF number.
So the greatest common factor 82640 and 82650 is 10.

Also check out the Least Common Multiple of 82640 and 82650