What is the Greatest Common Factor of 81564 and 81569?

Greatest common factor (GCF) of 81564 and 81569 is 1.

GCF(81564,81569) = 1

We will now calculate the prime factors of 81564 and 81569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81564 and 81569.

How to find the GCF of 81564 and 81569?

We will first find the prime factorization of 81564 and 81569. After we will calculate the factors of 81564 and 81569 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 81569

Prime factors of 81569 are 81569. Prime factorization of 81569 in exponential form is:

81569 = 81569¹

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 81569

List of positive integer factors of 81569 that divides 81564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81564 and 81569. The biggest common factor number is the GCF number.
So the greatest common factor 81564 and 81569 is 1.

Also check out the Least Common Multiple of 81564 and 81569