What is the Greatest Common Factor of 67485 and 67505?

Greatest common factor (GCF) of 67485 and 67505 is 5.

GCF(67485,67505) = 5

We will now calculate the prime factors of 67485 and 67505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67485 and 67505.

How to find the GCF of 67485 and 67505?

We will first find the prime factorization of 67485 and 67505. After we will calculate the factors of 67485 and 67505 and find the biggest common factor number .

Step-1: Prime Factorization of 67485

Prime factors of 67485 are 3, 5, 11, 409. Prime factorization of 67485 in exponential form is:

67485 = 3¹ × 5¹ × 11¹ × 409¹

Step-2: Prime Factorization of 67505

Prime factors of 67505 are 5, 23, 587. Prime factorization of 67505 in exponential form is:

67505 = 5¹ × 23¹ × 587¹

Step-3: Factors of 67485

List of positive integer factors of 67485 that divides 67485 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 409, 1227, 2045, 4499, 6135, 13497, 22495

Step-4: Factors of 67505

List of positive integer factors of 67505 that divides 67485 without a remainder.

1, 5, 23, 115, 587, 2935, 13501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67485 and 67505. The biggest common factor number is the GCF number.
So the greatest common factor 67485 and 67505 is 5.

Also check out the Least Common Multiple of 67485 and 67505