What is the Greatest Common Factor of 80730 and 80735?

Greatest common factor (GCF) of 80730 and 80735 is 5.

GCF(80730,80735) = 5

We will now calculate the prime factors of 80730 and 80735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80730 and 80735.

How to find the GCF of 80730 and 80735?

We will first find the prime factorization of 80730 and 80735. After we will calculate the factors of 80730 and 80735 and find the biggest common factor number .

Step-1: Prime Factorization of 80730

Prime factors of 80730 are 2, 3, 5, 13, 23. Prime factorization of 80730 in exponential form is:

80730 = 2¹ × 3³ × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 80735

Prime factors of 80735 are 5, 67, 241. Prime factorization of 80735 in exponential form is:

80735 = 5¹ × 67¹ × 241¹

Step-3: Factors of 80730

List of positive integer factors of 80730 that divides 80730 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 23, 26, 27, 30, 39, 45, 46, 54, 65, 69, 78, 90, 115, 117, 130, 135, 138, 195, 207, 230, 234, 270, 299, 345, 351, 390, 414, 585, 598, 621, 690, 702, 897, 1035, 1170, 1242, 1495, 1755, 1794, 2070, 2691, 2990, 3105, 3510, 4485, 5382, 6210, 8073, 8970, 13455, 16146, 26910, 40365

Step-4: Factors of 80735

List of positive integer factors of 80735 that divides 80730 without a remainder.

1, 5, 67, 241, 335, 1205, 16147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80730 and 80735. The biggest common factor number is the GCF number.
So the greatest common factor 80730 and 80735 is 5.

Also check out the Least Common Multiple of 80730 and 80735