What is the Greatest Common Factor of 80730 and 80739?

Greatest common factor (GCF) of 80730 and 80739 is 9.

GCF(80730,80739) = 9

We will now calculate the prime factors of 80730 and 80739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80730 and 80739.

How to find the GCF of 80730 and 80739?

We will first find the prime factorization of 80730 and 80739. After we will calculate the factors of 80730 and 80739 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 80739

Prime factors of 80739 are 3, 8971. Prime factorization of 80739 in exponential form is:

80739 = 3² × 8971¹

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 80739

List of positive integer factors of 80739 that divides 80730 without a remainder.

1, 3, 9, 8971, 26913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80730 and 80739. The biggest common factor number is the GCF number.
So the greatest common factor 80730 and 80739 is 9.

Also check out the Least Common Multiple of 80730 and 80739