What is the Greatest Common Factor of 82620 and 82635?

Greatest common factor (GCF) of 82620 and 82635 is 15.

GCF(82620,82635) = 15

We will now calculate the prime factors of 82620 and 82635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82620 and 82635.

How to find the GCF of 82620 and 82635?

We will first find the prime factorization of 82620 and 82635. After we will calculate the factors of 82620 and 82635 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82635

Prime factors of 82635 are 3, 5, 7, 787. Prime factorization of 82635 in exponential form is:

82635 = 3¹ × 5¹ × 7¹ × 787¹

Step-3: Factors of 82620

List of positive integer factors of 82620 that divides 82620 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

Step-4: Factors of 82635

List of positive integer factors of 82635 that divides 82620 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 787, 2361, 3935, 5509, 11805, 16527, 27545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82620 and 82635. The biggest common factor number is the GCF number.
So the greatest common factor 82620 and 82635 is 15.

Also check out the Least Common Multiple of 82620 and 82635