What is the Greatest Common Factor of 81620 and 81634?

Greatest common factor (GCF) of 81620 and 81634 is 14.

GCF(81620,81634) = 14

We will now calculate the prime factors of 81620 and 81634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81620 and 81634.

How to find the GCF of 81620 and 81634?

We will first find the prime factorization of 81620 and 81634. After we will calculate the factors of 81620 and 81634 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 81634

Prime factors of 81634 are 2, 7, 17. Prime factorization of 81634 in exponential form is:

81634 = 2¹ × 7⁴ × 17¹

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 81634

List of positive integer factors of 81634 that divides 81620 without a remainder.

1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 343, 686, 833, 1666, 2401, 4802, 5831, 11662, 40817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81620 and 81634. The biggest common factor number is the GCF number.
So the greatest common factor 81620 and 81634 is 14.

Also check out the Least Common Multiple of 81620 and 81634