What is the Greatest Common Factor of 81552 and 81568?

Greatest common factor (GCF) of 81552 and 81568 is 16.

GCF(81552,81568) = 16

We will now calculate the prime factors of 81552 and 81568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81552 and 81568.

How to find the GCF of 81552 and 81568?

We will first find the prime factorization of 81552 and 81568. After we will calculate the factors of 81552 and 81568 and find the biggest common factor number .

Step-1: Prime Factorization of 81552

Prime factors of 81552 are 2, 3, 1699. Prime factorization of 81552 in exponential form is:

81552 = 2⁴ × 3¹ × 1699¹

Step-2: Prime Factorization of 81568

Prime factors of 81568 are 2, 2549. Prime factorization of 81568 in exponential form is:

81568 = 2⁵ × 2549¹

Step-3: Factors of 81552

List of positive integer factors of 81552 that divides 81552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1699, 3398, 5097, 6796, 10194, 13592, 20388, 27184, 40776

Step-4: Factors of 81568

List of positive integer factors of 81568 that divides 81552 without a remainder.

1, 2, 4, 8, 16, 32, 2549, 5098, 10196, 20392, 40784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81552 and 81568. The biggest common factor number is the GCF number.
So the greatest common factor 81552 and 81568 is 16.

Also check out the Least Common Multiple of 81552 and 81568