What is the Greatest Common Factor of 72505 and 72522?

Greatest common factor (GCF) of 72505 and 72522 is 17.

GCF(72505,72522) = 17

We will now calculate the prime factors of 72505 and 72522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72505 and 72522.

How to find the GCF of 72505 and 72522?

We will first find the prime factorization of 72505 and 72522. After we will calculate the factors of 72505 and 72522 and find the biggest common factor number .

Step-1: Prime Factorization of 72505

Prime factors of 72505 are 5, 17, 853. Prime factorization of 72505 in exponential form is:

72505 = 5¹ × 17¹ × 853¹

Step-2: Prime Factorization of 72522

Prime factors of 72522 are 2, 3, 17, 79. Prime factorization of 72522 in exponential form is:

72522 = 2¹ × 3³ × 17¹ × 79¹

Step-3: Factors of 72505

List of positive integer factors of 72505 that divides 72505 without a remainder.

1, 5, 17, 85, 853, 4265, 14501

Step-4: Factors of 72522

List of positive integer factors of 72522 that divides 72505 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 79, 102, 153, 158, 237, 306, 459, 474, 711, 918, 1343, 1422, 2133, 2686, 4029, 4266, 8058, 12087, 24174, 36261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72505 and 72522. The biggest common factor number is the GCF number.
So the greatest common factor 72505 and 72522 is 17.

Also check out the Least Common Multiple of 72505 and 72522