What is the Greatest Common Factor of 81620 and 81631?

Greatest common factor (GCF) of 81620 and 81631 is 11.

GCF(81620,81631) = 11

We will now calculate the prime factors of 81620 and 81631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81620 and 81631.

How to find the GCF of 81620 and 81631?

We will first find the prime factorization of 81620 and 81631. After we will calculate the factors of 81620 and 81631 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 81631

Prime factors of 81631 are 11, 41, 181. Prime factorization of 81631 in exponential form is:

81631 = 11¹ × 41¹ × 181¹

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 81631

List of positive integer factors of 81631 that divides 81620 without a remainder.

1, 11, 41, 181, 451, 1991, 7421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81620 and 81631. The biggest common factor number is the GCF number.
So the greatest common factor 81620 and 81631 is 11.

Also check out the Least Common Multiple of 81620 and 81631