What is the Greatest Common Factor of 80724 and 80730?

Greatest common factor (GCF) of 80724 and 80730 is 6.

GCF(80724,80730) = 6

We will now calculate the prime factors of 80724 and 80730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80724 and 80730.

How to find the GCF of 80724 and 80730?

We will first find the prime factorization of 80724 and 80730. After we will calculate the factors of 80724 and 80730 and find the biggest common factor number .

Step-1: Prime Factorization of 80724

Prime factors of 80724 are 2, 3, 7, 31. Prime factorization of 80724 in exponential form is:

80724 = 2² × 3¹ × 7¹ × 31²

Step-2: 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-3: Factors of 80724

List of positive integer factors of 80724 that divides 80724 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 961, 1302, 1922, 2604, 2883, 3844, 5766, 6727, 11532, 13454, 20181, 26908, 40362

Step-4: Factors of 80730

List of positive integer factors of 80730 that divides 80724 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80724 and 80730. The biggest common factor number is the GCF number.
So the greatest common factor 80724 and 80730 is 6.

Also check out the Least Common Multiple of 80724 and 80730