What is the Greatest Common Factor of 67626 and 67643?

Greatest common factor (GCF) of 67626 and 67643 is 17.

GCF(67626,67643) = 17

We will now calculate the prime factors of 67626 and 67643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67626 and 67643.

How to find the GCF of 67626 and 67643?

We will first find the prime factorization of 67626 and 67643. After we will calculate the factors of 67626 and 67643 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67643

Prime factors of 67643 are 17, 23, 173. Prime factorization of 67643 in exponential form is:

67643 = 17¹ × 23¹ × 173¹

Step-3: Factors of 67626

List of positive integer factors of 67626 that divides 67626 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

Step-4: Factors of 67643

List of positive integer factors of 67643 that divides 67626 without a remainder.

1, 17, 23, 173, 391, 2941, 3979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67626 and 67643. The biggest common factor number is the GCF number.
So the greatest common factor 67626 and 67643 is 17.

Also check out the Least Common Multiple of 67626 and 67643