What is the Greatest Common Factor of 72523 and 72538?

Greatest common factor (GCF) of 72523 and 72538 is 1.

GCF(72523,72538) = 1

We will now calculate the prime factors of 72523 and 72538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72523 and 72538.

How to find the GCF of 72523 and 72538?

We will first find the prime factorization of 72523 and 72538. After we will calculate the factors of 72523 and 72538 and find the biggest common factor number .

Step-1: Prime Factorization of 72523

Prime factors of 72523 are 11, 19, 347. Prime factorization of 72523 in exponential form is:

72523 = 11¹ × 19¹ × 347¹

Step-2: Prime Factorization of 72538

Prime factors of 72538 are 2, 36269. Prime factorization of 72538 in exponential form is:

72538 = 2¹ × 36269¹

Step-3: Factors of 72523

List of positive integer factors of 72523 that divides 72523 without a remainder.

1, 11, 19, 209, 347, 3817, 6593

Step-4: Factors of 72538

List of positive integer factors of 72538 that divides 72523 without a remainder.

1, 2, 36269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72523 and 72538. The biggest common factor number is the GCF number.
So the greatest common factor 72523 and 72538 is 1.

Also check out the Least Common Multiple of 72523 and 72538