What is the Greatest Common Factor of 80724 and 80742?

Greatest common factor (GCF) of 80724 and 80742 is 6.

GCF(80724,80742) = 6

We will now calculate the prime factors of 80724 and 80742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80724 and 80742.

How to find the GCF of 80724 and 80742?

We will first find the prime factorization of 80724 and 80742. After we will calculate the factors of 80724 and 80742 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 80742

Prime factors of 80742 are 2, 3, 13457. Prime factorization of 80742 in exponential form is:

80742 = 2¹ × 3¹ × 13457¹

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 80742

List of positive integer factors of 80742 that divides 80724 without a remainder.

1, 2, 3, 6, 13457, 26914, 40371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80724 and 80742. The biggest common factor number is the GCF number.
So the greatest common factor 80724 and 80742 is 6.

Also check out the Least Common Multiple of 80724 and 80742