What is the Greatest Common Factor of 73497 and 73515?

Greatest common factor (GCF) of 73497 and 73515 is 3.

GCF(73497,73515) = 3

We will now calculate the prime factors of 73497 and 73515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73497 and 73515.

How to find the GCF of 73497 and 73515?

We will first find the prime factorization of 73497 and 73515. After we will calculate the factors of 73497 and 73515 and find the biggest common factor number .

Step-1: Prime Factorization of 73497

Prime factors of 73497 are 3, 24499. Prime factorization of 73497 in exponential form is:

73497 = 3¹ × 24499¹

Step-2: Prime Factorization of 73515

Prime factors of 73515 are 3, 5, 13, 29. Prime factorization of 73515 in exponential form is:

73515 = 3¹ × 5¹ × 13² × 29¹

Step-3: Factors of 73497

List of positive integer factors of 73497 that divides 73497 without a remainder.

1, 3, 24499

Step-4: Factors of 73515

List of positive integer factors of 73515 that divides 73497 without a remainder.

1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 169, 195, 377, 435, 507, 845, 1131, 1885, 2535, 4901, 5655, 14703, 24505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73497 and 73515. The biggest common factor number is the GCF number.
So the greatest common factor 73497 and 73515 is 3.

Also check out the Least Common Multiple of 73497 and 73515