What is the Greatest Common Factor of 67664 and 67669?

Greatest common factor (GCF) of 67664 and 67669 is 1.

GCF(67664,67669) = 1

We will now calculate the prime factors of 67664 and 67669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67664 and 67669.

How to find the GCF of 67664 and 67669?

We will first find the prime factorization of 67664 and 67669. After we will calculate the factors of 67664 and 67669 and find the biggest common factor number .

Step-1: Prime Factorization of 67664

Prime factors of 67664 are 2, 4229. Prime factorization of 67664 in exponential form is:

67664 = 2⁴ × 4229¹

Step-2: Prime Factorization of 67669

Prime factors of 67669 are 7, 1381. Prime factorization of 67669 in exponential form is:

67669 = 7² × 1381¹

Step-3: Factors of 67664

List of positive integer factors of 67664 that divides 67664 without a remainder.

1, 2, 4, 8, 16, 4229, 8458, 16916, 33832

Step-4: Factors of 67669

List of positive integer factors of 67669 that divides 67664 without a remainder.

1, 7, 49, 1381, 9667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67664 and 67669. The biggest common factor number is the GCF number.
So the greatest common factor 67664 and 67669 is 1.

Also check out the Least Common Multiple of 67664 and 67669