What is the Greatest Common Factor of 80522 and 80538?

Greatest common factor (GCF) of 80522 and 80538 is 2.

GCF(80522,80538) = 2

We will now calculate the prime factors of 80522 and 80538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80522 and 80538.

How to find the GCF of 80522 and 80538?

We will first find the prime factorization of 80522 and 80538. After we will calculate the factors of 80522 and 80538 and find the biggest common factor number .

Step-1: Prime Factorization of 80522

Prime factors of 80522 are 2, 13, 19, 163. Prime factorization of 80522 in exponential form is:

80522 = 2¹ × 13¹ × 19¹ × 163¹

Step-2: 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-3: Factors of 80522

List of positive integer factors of 80522 that divides 80522 without a remainder.

1, 2, 13, 19, 26, 38, 163, 247, 326, 494, 2119, 3097, 4238, 6194, 40261

Step-4: Factors of 80538

List of positive integer factors of 80538 that divides 80522 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80522 and 80538. The biggest common factor number is the GCF number.
So the greatest common factor 80522 and 80538 is 2.

Also check out the Least Common Multiple of 80522 and 80538