What is the Greatest Common Factor of 81510 and 81523?

Greatest common factor (GCF) of 81510 and 81523 is 13.

GCF(81510,81523) = 13

We will now calculate the prime factors of 81510 and 81523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81510 and 81523.

How to find the GCF of 81510 and 81523?

We will first find the prime factorization of 81510 and 81523. After we will calculate the factors of 81510 and 81523 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81523

Prime factors of 81523 are 13, 6271. Prime factorization of 81523 in exponential form is:

81523 = 13¹ × 6271¹

Step-3: Factors of 81510

List of positive integer factors of 81510 that divides 81510 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

Step-4: Factors of 81523

List of positive integer factors of 81523 that divides 81510 without a remainder.

1, 13, 6271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81510 and 81523. The biggest common factor number is the GCF number.
So the greatest common factor 81510 and 81523 is 13.

Also check out the Least Common Multiple of 81510 and 81523