What is the Greatest Common Factor of 67605 and 67622?

Greatest common factor (GCF) of 67605 and 67622 is 1.

GCF(67605,67622) = 1

We will now calculate the prime factors of 67605 and 67622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67605 and 67622.

How to find the GCF of 67605 and 67622?

We will first find the prime factorization of 67605 and 67622. After we will calculate the factors of 67605 and 67622 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 67622

Prime factors of 67622 are 2, 33811. Prime factorization of 67622 in exponential form is:

67622 = 2¹ × 33811¹

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 67622

List of positive integer factors of 67622 that divides 67605 without a remainder.

1, 2, 33811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67605 and 67622. The biggest common factor number is the GCF number.
So the greatest common factor 67605 and 67622 is 1.

Also check out the Least Common Multiple of 67605 and 67622