What is the Greatest Common Factor of 30523 and 30537?

Greatest common factor (GCF) of 30523 and 30537 is 1.

GCF(30523,30537) = 1

We will now calculate the prime factors of 30523 and 30537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30523 and 30537.

How to find the GCF of 30523 and 30537?

We will first find the prime factorization of 30523 and 30537. After we will calculate the factors of 30523 and 30537 and find the biggest common factor number .

Step-1: Prime Factorization of 30523

Prime factors of 30523 are 131, 233. Prime factorization of 30523 in exponential form is:

30523 = 131¹ × 233¹

Step-2: Prime Factorization of 30537

Prime factors of 30537 are 3, 13, 29. Prime factorization of 30537 in exponential form is:

30537 = 3⁴ × 13¹ × 29¹

Step-3: Factors of 30523

List of positive integer factors of 30523 that divides 30523 without a remainder.

1, 131, 233

Step-4: Factors of 30537

List of positive integer factors of 30537 that divides 30523 without a remainder.

1, 3, 9, 13, 27, 29, 39, 81, 87, 117, 261, 351, 377, 783, 1053, 1131, 2349, 3393, 10179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30523 and 30537. The biggest common factor number is the GCF number.
So the greatest common factor 30523 and 30537 is 1.

Also check out the Least Common Multiple of 30523 and 30537