What is the Greatest Common Factor of 82563 and 82577?

Greatest common factor (GCF) of 82563 and 82577 is 1.

GCF(82563,82577) = 1

We will now calculate the prime factors of 82563 and 82577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82563 and 82577.

How to find the GCF of 82563 and 82577?

We will first find the prime factorization of 82563 and 82577. After we will calculate the factors of 82563 and 82577 and find the biggest common factor number .

Step-1: Prime Factorization of 82563

Prime factors of 82563 are 3, 13, 29, 73. Prime factorization of 82563 in exponential form is:

82563 = 3¹ × 13¹ × 29¹ × 73¹

Step-2: Prime Factorization of 82577

Prime factors of 82577 are 11, 7507. Prime factorization of 82577 in exponential form is:

82577 = 11¹ × 7507¹

Step-3: Factors of 82563

List of positive integer factors of 82563 that divides 82563 without a remainder.

1, 3, 13, 29, 39, 73, 87, 219, 377, 949, 1131, 2117, 2847, 6351, 27521

Step-4: Factors of 82577

List of positive integer factors of 82577 that divides 82563 without a remainder.

1, 11, 7507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82563 and 82577. The biggest common factor number is the GCF number.
So the greatest common factor 82563 and 82577 is 1.

Also check out the Least Common Multiple of 82563 and 82577