What is the Greatest Common Factor of 80720 and 80736?

Greatest common factor (GCF) of 80720 and 80736 is 16.

GCF(80720,80736) = 16

We will now calculate the prime factors of 80720 and 80736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80720 and 80736.

How to find the GCF of 80720 and 80736?

We will first find the prime factorization of 80720 and 80736. After we will calculate the factors of 80720 and 80736 and find the biggest common factor number .

Step-1: Prime Factorization of 80720

Prime factors of 80720 are 2, 5, 1009. Prime factorization of 80720 in exponential form is:

80720 = 2⁴ × 5¹ × 1009¹

Step-2: Prime Factorization of 80736

Prime factors of 80736 are 2, 3, 29. Prime factorization of 80736 in exponential form is:

80736 = 2⁵ × 3¹ × 29²

Step-3: Factors of 80720

List of positive integer factors of 80720 that divides 80720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1009, 2018, 4036, 5045, 8072, 10090, 16144, 20180, 40360

Step-4: Factors of 80736

List of positive integer factors of 80736 that divides 80720 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 841, 928, 1392, 1682, 2523, 2784, 3364, 5046, 6728, 10092, 13456, 20184, 26912, 40368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80720 and 80736. The biggest common factor number is the GCF number.
So the greatest common factor 80720 and 80736 is 16.

Also check out the Least Common Multiple of 80720 and 80736