What is the Greatest Common Factor of 82542 and 82561?

Greatest common factor (GCF) of 82542 and 82561 is 1.

GCF(82542,82561) = 1

We will now calculate the prime factors of 82542 and 82561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82542 and 82561.

How to find the GCF of 82542 and 82561?

We will first find the prime factorization of 82542 and 82561. After we will calculate the factors of 82542 and 82561 and find the biggest common factor number .

Step-1: Prime Factorization of 82542

Prime factors of 82542 are 2, 3, 13757. Prime factorization of 82542 in exponential form is:

82542 = 2¹ × 3¹ × 13757¹

Step-2: Prime Factorization of 82561

Prime factors of 82561 are 82561. Prime factorization of 82561 in exponential form is:

82561 = 82561¹

Step-3: Factors of 82542

List of positive integer factors of 82542 that divides 82542 without a remainder.

1, 2, 3, 6, 13757, 27514, 41271

Step-4: Factors of 82561

List of positive integer factors of 82561 that divides 82542 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82542 and 82561. The biggest common factor number is the GCF number.
So the greatest common factor 82542 and 82561 is 1.

Also check out the Least Common Multiple of 82542 and 82561