What is the Greatest Common Factor of 524 and 531?

Greatest common factor (GCF) of 524 and 531 is 1.

GCF(524,531) = 1

We will now calculate the prime factors of 524 and 531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 524 and 531.

How to find the GCF of 524 and 531?

We will first find the prime factorization of 524 and 531. After we will calculate the factors of 524 and 531 and find the biggest common factor number .

Step-1: Prime Factorization of 524

Prime factors of 524 are 2, 131. Prime factorization of 524 in exponential form is:

524 = 2² × 131¹

Step-2: Prime Factorization of 531

Prime factors of 531 are 3, 59. Prime factorization of 531 in exponential form is:

531 = 3² × 59¹

Step-3: Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262

Step-4: Factors of 531

List of positive integer factors of 531 that divides 524 without a remainder.

1, 3, 9, 59, 177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 524 and 531. The biggest common factor number is the GCF number.
So the greatest common factor 524 and 531 is 1.

Also check out the Least Common Multiple of 524 and 531