What is the Greatest Common Factor of 73485 and 73505?

Greatest common factor (GCF) of 73485 and 73505 is 5.

GCF(73485,73505) = 5

We will now calculate the prime factors of 73485 and 73505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73485 and 73505.

How to find the GCF of 73485 and 73505?

We will first find the prime factorization of 73485 and 73505. After we will calculate the factors of 73485 and 73505 and find the biggest common factor number .

Step-1: Prime Factorization of 73485

Prime factors of 73485 are 3, 5, 23, 71. Prime factorization of 73485 in exponential form is:

73485 = 3² × 5¹ × 23¹ × 71¹

Step-2: Prime Factorization of 73505

Prime factors of 73505 are 5, 61, 241. Prime factorization of 73505 in exponential form is:

73505 = 5¹ × 61¹ × 241¹

Step-3: Factors of 73485

List of positive integer factors of 73485 that divides 73485 without a remainder.

1, 3, 5, 9, 15, 23, 45, 69, 71, 115, 207, 213, 345, 355, 639, 1035, 1065, 1633, 3195, 4899, 8165, 14697, 24495

Step-4: Factors of 73505

List of positive integer factors of 73505 that divides 73485 without a remainder.

1, 5, 61, 241, 305, 1205, 14701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73485 and 73505. The biggest common factor number is the GCF number.
So the greatest common factor 73485 and 73505 is 5.

Also check out the Least Common Multiple of 73485 and 73505