What is the Greatest Common Factor of 67609 and 67626?

Greatest common factor (GCF) of 67609 and 67626 is 17.

GCF(67609,67626) = 17

We will now calculate the prime factors of 67609 and 67626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67609 and 67626.

How to find the GCF of 67609 and 67626?

We will first find the prime factorization of 67609 and 67626. After we will calculate the factors of 67609 and 67626 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 67626

Prime factors of 67626 are 2, 3, 13, 17. Prime factorization of 67626 in exponential form is:

67626 = 2¹ × 3² × 13¹ × 17²

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 67626

List of positive integer factors of 67626 that divides 67609 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 289, 306, 442, 578, 663, 867, 1326, 1734, 1989, 2601, 3757, 3978, 5202, 7514, 11271, 22542, 33813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67609 and 67626. The biggest common factor number is the GCF number.
So the greatest common factor 67609 and 67626 is 17.

Also check out the Least Common Multiple of 67609 and 67626