What is the Greatest Common Factor of 82545 and 82563?

Greatest common factor (GCF) of 82545 and 82563 is 3.

GCF(82545,82563) = 3

We will now calculate the prime factors of 82545 and 82563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82545 and 82563.

How to find the GCF of 82545 and 82563?

We will first find the prime factorization of 82545 and 82563. After we will calculate the factors of 82545 and 82563 and find the biggest common factor number .

Step-1: Prime Factorization of 82545

Prime factors of 82545 are 3, 5, 5503. Prime factorization of 82545 in exponential form is:

82545 = 3¹ × 5¹ × 5503¹

Step-2: 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-3: Factors of 82545

List of positive integer factors of 82545 that divides 82545 without a remainder.

1, 3, 5, 15, 5503, 16509, 27515

Step-4: Factors of 82563

List of positive integer factors of 82563 that divides 82545 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82545 and 82563. The biggest common factor number is the GCF number.
So the greatest common factor 82545 and 82563 is 3.

Also check out the Least Common Multiple of 82545 and 82563