What is the Greatest Common Factor of 80500 and 80520?

Greatest common factor (GCF) of 80500 and 80520 is 20.

GCF(80500,80520) = 20

We will now calculate the prime factors of 80500 and 80520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80500 and 80520.

How to find the GCF of 80500 and 80520?

We will first find the prime factorization of 80500 and 80520. After we will calculate the factors of 80500 and 80520 and find the biggest common factor number .

Step-1: Prime Factorization of 80500

Prime factors of 80500 are 2, 5, 7, 23. Prime factorization of 80500 in exponential form is:

80500 = 2² × 5³ × 7¹ × 23¹

Step-2: Prime Factorization of 80520

Prime factors of 80520 are 2, 3, 5, 11, 61. Prime factorization of 80520 in exponential form is:

80520 = 2³ × 3¹ × 5¹ × 11¹ × 61¹

Step-3: Factors of 80500

List of positive integer factors of 80500 that divides 80500 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 25, 28, 35, 46, 50, 70, 92, 100, 115, 125, 140, 161, 175, 230, 250, 322, 350, 460, 500, 575, 644, 700, 805, 875, 1150, 1610, 1750, 2300, 2875, 3220, 3500, 4025, 5750, 8050, 11500, 16100, 20125, 40250

Step-4: Factors of 80520

List of positive integer factors of 80520 that divides 80500 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 61, 66, 88, 110, 120, 122, 132, 165, 183, 220, 244, 264, 305, 330, 366, 440, 488, 610, 660, 671, 732, 915, 1220, 1320, 1342, 1464, 1830, 2013, 2440, 2684, 3355, 3660, 4026, 5368, 6710, 7320, 8052, 10065, 13420, 16104, 20130, 26840, 40260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80500 and 80520. The biggest common factor number is the GCF number.
So the greatest common factor 80500 and 80520 is 20.

Also check out the Least Common Multiple of 80500 and 80520