What is the Greatest Common Factor of 81576 and 81588?

Greatest common factor (GCF) of 81576 and 81588 is 12.

GCF(81576,81588) = 12

We will now calculate the prime factors of 81576 and 81588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81576 and 81588.

How to find the GCF of 81576 and 81588?

We will first find the prime factorization of 81576 and 81588. After we will calculate the factors of 81576 and 81588 and find the biggest common factor number .

Step-1: Prime Factorization of 81576

Prime factors of 81576 are 2, 3, 11, 103. Prime factorization of 81576 in exponential form is:

81576 = 2³ × 3² × 11¹ × 103¹

Step-2: Prime Factorization of 81588

Prime factors of 81588 are 2, 3, 13, 523. Prime factorization of 81588 in exponential form is:

81588 = 2² × 3¹ × 13¹ × 523¹

Step-3: Factors of 81576

List of positive integer factors of 81576 that divides 81576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 103, 132, 198, 206, 264, 309, 396, 412, 618, 792, 824, 927, 1133, 1236, 1854, 2266, 2472, 3399, 3708, 4532, 6798, 7416, 9064, 10197, 13596, 20394, 27192, 40788

Step-4: Factors of 81588

List of positive integer factors of 81588 that divides 81576 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 523, 1046, 1569, 2092, 3138, 6276, 6799, 13598, 20397, 27196, 40794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81576 and 81588. The biggest common factor number is the GCF number.
So the greatest common factor 81576 and 81588 is 12.

Also check out the Least Common Multiple of 81576 and 81588