What is the Greatest Common Factor of 81500 and 81510?

Greatest common factor (GCF) of 81500 and 81510 is 10.

GCF(81500,81510) = 10

We will now calculate the prime factors of 81500 and 81510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81500 and 81510.

How to find the GCF of 81500 and 81510?

We will first find the prime factorization of 81500 and 81510. After we will calculate the factors of 81500 and 81510 and find the biggest common factor number .

Step-1: Prime Factorization of 81500

Prime factors of 81500 are 2, 5, 163. Prime factorization of 81500 in exponential form is:

81500 = 2² × 5³ × 163¹

Step-2: Prime Factorization of 81510

Prime factors of 81510 are 2, 3, 5, 11, 13, 19. Prime factorization of 81510 in exponential form is:

81510 = 2¹ × 3¹ × 5¹ × 11¹ × 13¹ × 19¹

Step-3: Factors of 81500

List of positive integer factors of 81500 that divides 81500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 163, 250, 326, 500, 652, 815, 1630, 3260, 4075, 8150, 16300, 20375, 40750

Step-4: Factors of 81510

List of positive integer factors of 81510 that divides 81500 without a remainder.

1, 2, 3, 5, 6, 10, 11, 13, 15, 19, 22, 26, 30, 33, 38, 39, 55, 57, 65, 66, 78, 95, 110, 114, 130, 143, 165, 190, 195, 209, 247, 285, 286, 330, 390, 418, 429, 494, 570, 627, 715, 741, 858, 1045, 1235, 1254, 1430, 1482, 2090, 2145, 2470, 2717, 3135, 3705, 4290, 5434, 6270, 7410, 8151, 13585, 16302, 27170, 40755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81500 and 81510. The biggest common factor number is the GCF number.
So the greatest common factor 81500 and 81510 is 10.

Also check out the Least Common Multiple of 81500 and 81510