What is the Greatest Common Factor of 522 and 542?

Greatest common factor (GCF) of 522 and 542 is 2.

GCF(522,542) = 2

We will now calculate the prime factors of 522 and 542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 522 and 542.

How to find the GCF of 522 and 542?

We will first find the prime factorization of 522 and 542. After we will calculate the factors of 522 and 542 and find the biggest common factor number .

Step-1: Prime Factorization of 522

Prime factors of 522 are 2, 3, 29. Prime factorization of 522 in exponential form is:

522 = 2¹ × 3² × 29¹

Step-2: Prime Factorization of 542

Prime factors of 542 are 2, 271. Prime factorization of 542 in exponential form is:

542 = 2¹ × 271¹

Step-3: Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261

Step-4: Factors of 542

List of positive integer factors of 542 that divides 522 without a remainder.

1, 2, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 522 and 542. The biggest common factor number is the GCF number.
So the greatest common factor 522 and 542 is 2.

Also check out the Least Common Multiple of 522 and 542