What is the Greatest Common Factor of 81620 and 81635?

Greatest common factor (GCF) of 81620 and 81635 is 5.

GCF(81620,81635) = 5

We will now calculate the prime factors of 81620 and 81635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81620 and 81635.

How to find the GCF of 81620 and 81635?

We will first find the prime factorization of 81620 and 81635. After we will calculate the factors of 81620 and 81635 and find the biggest common factor number .

Step-1: Prime Factorization of 81620

Prime factors of 81620 are 2, 5, 7, 11, 53. Prime factorization of 81620 in exponential form is:

81620 = 2² × 5¹ × 7¹ × 11¹ × 53¹

Step-2: Prime Factorization of 81635

Prime factors of 81635 are 5, 29, 563. Prime factorization of 81635 in exponential form is:

81635 = 5¹ × 29¹ × 563¹

Step-3: Factors of 81620

List of positive integer factors of 81620 that divides 81620 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 53, 55, 70, 77, 106, 110, 140, 154, 212, 220, 265, 308, 371, 385, 530, 583, 742, 770, 1060, 1166, 1484, 1540, 1855, 2332, 2915, 3710, 4081, 5830, 7420, 8162, 11660, 16324, 20405, 40810

Step-4: Factors of 81635

List of positive integer factors of 81635 that divides 81620 without a remainder.

1, 5, 29, 145, 563, 2815, 16327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81620 and 81635. The biggest common factor number is the GCF number.
So the greatest common factor 81620 and 81635 is 5.

Also check out the Least Common Multiple of 81620 and 81635