What is the Greatest Common Factor of 80520 and 80526?

Greatest common factor (GCF) of 80520 and 80526 is 6.

GCF(80520,80526) = 6

We will now calculate the prime factors of 80520 and 80526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80520 and 80526.

How to find the GCF of 80520 and 80526?

We will first find the prime factorization of 80520 and 80526. After we will calculate the factors of 80520 and 80526 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80526

Prime factors of 80526 are 2, 3, 13421. Prime factorization of 80526 in exponential form is:

80526 = 2¹ × 3¹ × 13421¹

Step-3: Factors of 80520

List of positive integer factors of 80520 that divides 80520 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

Step-4: Factors of 80526

List of positive integer factors of 80526 that divides 80520 without a remainder.

1, 2, 3, 6, 13421, 26842, 40263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80520 and 80526. The biggest common factor number is the GCF number.
So the greatest common factor 80520 and 80526 is 6.

Also check out the Least Common Multiple of 80520 and 80526