What is the Greatest Common Factor of 67605 and 67621?

Greatest common factor (GCF) of 67605 and 67621 is 1.

GCF(67605,67621) = 1

We will now calculate the prime factors of 67605 and 67621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67605 and 67621.

How to find the GCF of 67605 and 67621?

We will first find the prime factorization of 67605 and 67621. After we will calculate the factors of 67605 and 67621 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 67621

Prime factors of 67621 are 19, 3559. Prime factorization of 67621 in exponential form is:

67621 = 19¹ × 3559¹

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 67621

List of positive integer factors of 67621 that divides 67605 without a remainder.

1, 19, 3559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67605 and 67621. The biggest common factor number is the GCF number.
So the greatest common factor 67605 and 67621 is 1.

Also check out the Least Common Multiple of 67605 and 67621