What is the Greatest Common Factor of 80538 and 80550?

Greatest common factor (GCF) of 80538 and 80550 is 6.

GCF(80538,80550) = 6

We will now calculate the prime factors of 80538 and 80550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80538 and 80550.

How to find the GCF of 80538 and 80550?

We will first find the prime factorization of 80538 and 80550. After we will calculate the factors of 80538 and 80550 and find the biggest common factor number .

Step-1: Prime Factorization of 80538

Prime factors of 80538 are 2, 3, 31, 433. Prime factorization of 80538 in exponential form is:

80538 = 2¹ × 3¹ × 31¹ × 433¹

Step-2: Prime Factorization of 80550

Prime factors of 80550 are 2, 3, 5, 179. Prime factorization of 80550 in exponential form is:

80550 = 2¹ × 3² × 5² × 179¹

Step-3: Factors of 80538

List of positive integer factors of 80538 that divides 80538 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 433, 866, 1299, 2598, 13423, 26846, 40269

Step-4: Factors of 80550

List of positive integer factors of 80550 that divides 80538 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 179, 225, 358, 450, 537, 895, 1074, 1611, 1790, 2685, 3222, 4475, 5370, 8055, 8950, 13425, 16110, 26850, 40275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80538 and 80550. The biggest common factor number is the GCF number.
So the greatest common factor 80538 and 80550 is 6.

Also check out the Least Common Multiple of 80538 and 80550