What is the Greatest Common Factor of 81564 and 81571?

Greatest common factor (GCF) of 81564 and 81571 is 7.

GCF(81564,81571) = 7

We will now calculate the prime factors of 81564 and 81571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81564 and 81571.

How to find the GCF of 81564 and 81571?

We will first find the prime factorization of 81564 and 81571. After we will calculate the factors of 81564 and 81571 and find the biggest common factor number .

Step-1: Prime Factorization of 81564

Prime factors of 81564 are 2, 3, 7, 971. Prime factorization of 81564 in exponential form is:

81564 = 2² × 3¹ × 7¹ × 971¹

Step-2: Prime Factorization of 81571

Prime factors of 81571 are 7, 43, 271. Prime factorization of 81571 in exponential form is:

81571 = 7¹ × 43¹ × 271¹

Step-3: Factors of 81564

List of positive integer factors of 81564 that divides 81564 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 971, 1942, 2913, 3884, 5826, 6797, 11652, 13594, 20391, 27188, 40782

Step-4: Factors of 81571

List of positive integer factors of 81571 that divides 81564 without a remainder.

1, 7, 43, 271, 301, 1897, 11653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81564 and 81571. The biggest common factor number is the GCF number.
So the greatest common factor 81564 and 81571 is 7.

Also check out the Least Common Multiple of 81564 and 81571