What is the Greatest Common Factor of 80724 and 80728?

Greatest common factor (GCF) of 80724 and 80728 is 4.

GCF(80724,80728) = 4

We will now calculate the prime factors of 80724 and 80728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80724 and 80728.

How to find the GCF of 80724 and 80728?

We will first find the prime factorization of 80724 and 80728. After we will calculate the factors of 80724 and 80728 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 80728

Prime factors of 80728 are 2, 10091. Prime factorization of 80728 in exponential form is:

80728 = 2³ × 10091¹

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 80728

List of positive integer factors of 80728 that divides 80724 without a remainder.

1, 2, 4, 8, 10091, 20182, 40364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80724 and 80728. The biggest common factor number is the GCF number.
So the greatest common factor 80724 and 80728 is 4.

Also check out the Least Common Multiple of 80724 and 80728