What is the Greatest Common Factor of 67609 and 67628?

Greatest common factor (GCF) of 67609 and 67628 is 1.

GCF(67609,67628) = 1

We will now calculate the prime factors of 67609 and 67628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67609 and 67628.

How to find the GCF of 67609 and 67628?

We will first find the prime factorization of 67609 and 67628. After we will calculate the factors of 67609 and 67628 and find the biggest common factor number .

Step-1: Prime Factorization of 67609

Prime factors of 67609 are 17, 41, 97. Prime factorization of 67609 in exponential form is:

67609 = 17¹ × 41¹ × 97¹

Step-2: Prime Factorization of 67628

Prime factors of 67628 are 2, 11, 29, 53. Prime factorization of 67628 in exponential form is:

67628 = 2² × 11¹ × 29¹ × 53¹

Step-3: Factors of 67609

List of positive integer factors of 67609 that divides 67609 without a remainder.

1, 17, 41, 97, 697, 1649, 3977

Step-4: Factors of 67628

List of positive integer factors of 67628 that divides 67609 without a remainder.

1, 2, 4, 11, 22, 29, 44, 53, 58, 106, 116, 212, 319, 583, 638, 1166, 1276, 1537, 2332, 3074, 6148, 16907, 33814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67609 and 67628. The biggest common factor number is the GCF number.
So the greatest common factor 67609 and 67628 is 1.

Also check out the Least Common Multiple of 67609 and 67628