What is the Greatest Common Factor of 72509 and 72520?

Greatest common factor (GCF) of 72509 and 72520 is 1.

GCF(72509,72520) = 1

We will now calculate the prime factors of 72509 and 72520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72509 and 72520.

How to find the GCF of 72509 and 72520?

We will first find the prime factorization of 72509 and 72520. After we will calculate the factors of 72509 and 72520 and find the biggest common factor number .

Step-1: Prime Factorization of 72509

Prime factors of 72509 are 31, 2339. Prime factorization of 72509 in exponential form is:

72509 = 31¹ × 2339¹

Step-2: Prime Factorization of 72520

Prime factors of 72520 are 2, 5, 7, 37. Prime factorization of 72520 in exponential form is:

72520 = 2³ × 5¹ × 7² × 37¹

Step-3: Factors of 72509

List of positive integer factors of 72509 that divides 72509 without a remainder.

1, 31, 2339

Step-4: Factors of 72520

List of positive integer factors of 72520 that divides 72509 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 37, 40, 49, 56, 70, 74, 98, 140, 148, 185, 196, 245, 259, 280, 296, 370, 392, 490, 518, 740, 980, 1036, 1295, 1480, 1813, 1960, 2072, 2590, 3626, 5180, 7252, 9065, 10360, 14504, 18130, 36260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72509 and 72520. The biggest common factor number is the GCF number.
So the greatest common factor 72509 and 72520 is 1.

Also check out the Least Common Multiple of 72509 and 72520