What is the Greatest Common Factor of 67605 and 67614?

Greatest common factor (GCF) of 67605 and 67614 is 3.

GCF(67605,67614) = 3

We will now calculate the prime factors of 67605 and 67614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67605 and 67614.

How to find the GCF of 67605 and 67614?

We will first find the prime factorization of 67605 and 67614. After we will calculate the factors of 67605 and 67614 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 67614

Prime factors of 67614 are 2, 3, 59, 191. Prime factorization of 67614 in exponential form is:

67614 = 2¹ × 3¹ × 59¹ × 191¹

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 67614

List of positive integer factors of 67614 that divides 67605 without a remainder.

1, 2, 3, 6, 59, 118, 177, 191, 354, 382, 573, 1146, 11269, 22538, 33807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67605 and 67614. The biggest common factor number is the GCF number.
So the greatest common factor 67605 and 67614 is 3.

Also check out the Least Common Multiple of 67605 and 67614