What is the Greatest Common Factor of 67605 and 67610?

Greatest common factor (GCF) of 67605 and 67610 is 5.

GCF(67605,67610) = 5

We will now calculate the prime factors of 67605 and 67610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67605 and 67610.

How to find the GCF of 67605 and 67610?

We will first find the prime factorization of 67605 and 67610. After we will calculate the factors of 67605 and 67610 and find the biggest common factor number .

Step-1: Prime Factorization of 67605

Prime factors of 67605 are 3, 5, 4507. Prime factorization of 67605 in exponential form is:

67605 = 3¹ × 5¹ × 4507¹

Step-2: Prime Factorization of 67610

Prime factors of 67610 are 2, 5, 6761. Prime factorization of 67610 in exponential form is:

67610 = 2¹ × 5¹ × 6761¹

Step-3: Factors of 67605

List of positive integer factors of 67605 that divides 67605 without a remainder.

1, 3, 5, 15, 4507, 13521, 22535

Step-4: Factors of 67610

List of positive integer factors of 67610 that divides 67605 without a remainder.

1, 2, 5, 10, 6761, 13522, 33805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67605 and 67610. The biggest common factor number is the GCF number.
So the greatest common factor 67605 and 67610 is 5.

Also check out the Least Common Multiple of 67605 and 67610