What is the Greatest Common Factor of 82603 and 82620?

Greatest common factor (GCF) of 82603 and 82620 is 17.

GCF(82603,82620) = 17

We will now calculate the prime factors of 82603 and 82620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82603 and 82620.

How to find the GCF of 82603 and 82620?

We will first find the prime factorization of 82603 and 82620. After we will calculate the factors of 82603 and 82620 and find the biggest common factor number .

Step-1: Prime Factorization of 82603

Prime factors of 82603 are 17, 43, 113. Prime factorization of 82603 in exponential form is:

82603 = 17¹ × 43¹ × 113¹

Step-2: Prime Factorization of 82620

Prime factors of 82620 are 2, 3, 5, 17. Prime factorization of 82620 in exponential form is:

82620 = 2² × 3⁵ × 5¹ × 17¹

Step-3: Factors of 82603

List of positive integer factors of 82603 that divides 82603 without a remainder.

1, 17, 43, 113, 731, 1921, 4859

Step-4: Factors of 82620

List of positive integer factors of 82620 that divides 82603 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 27, 30, 34, 36, 45, 51, 54, 60, 68, 81, 85, 90, 102, 108, 135, 153, 162, 170, 180, 204, 243, 255, 270, 306, 324, 340, 405, 459, 486, 510, 540, 612, 765, 810, 918, 972, 1020, 1215, 1377, 1530, 1620, 1836, 2295, 2430, 2754, 3060, 4131, 4590, 4860, 5508, 6885, 8262, 9180, 13770, 16524, 20655, 27540, 41310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82603 and 82620. The biggest common factor number is the GCF number.
So the greatest common factor 82603 and 82620 is 17.

Also check out the Least Common Multiple of 82603 and 82620