What is the Greatest Common Factor of 81523 and 81536?

Greatest common factor (GCF) of 81523 and 81536 is 13.

GCF(81523,81536) = 13

We will now calculate the prime factors of 81523 and 81536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81523 and 81536.

How to find the GCF of 81523 and 81536?

We will first find the prime factorization of 81523 and 81536. After we will calculate the factors of 81523 and 81536 and find the biggest common factor number .

Step-1: Prime Factorization of 81523

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

81523 = 13¹ × 6271¹

Step-2: Prime Factorization of 81536

Prime factors of 81536 are 2, 7, 13. Prime factorization of 81536 in exponential form is:

81536 = 2⁷ × 7² × 13¹

Step-3: Factors of 81523

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

1, 13, 6271

Step-4: Factors of 81536

List of positive integer factors of 81536 that divides 81523 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 64, 91, 98, 104, 112, 128, 182, 196, 208, 224, 364, 392, 416, 448, 637, 728, 784, 832, 896, 1274, 1456, 1568, 1664, 2548, 2912, 3136, 5096, 5824, 6272, 10192, 11648, 20384, 40768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81523 and 81536. The biggest common factor number is the GCF number.
So the greatest common factor 81523 and 81536 is 13.

Also check out the Least Common Multiple of 81523 and 81536