What is the Greatest Common Factor of 67626 and 67639?

Greatest common factor (GCF) of 67626 and 67639 is 13.

GCF(67626,67639) = 13

We will now calculate the prime factors of 67626 and 67639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67626 and 67639.

How to find the GCF of 67626 and 67639?

We will first find the prime factorization of 67626 and 67639. After we will calculate the factors of 67626 and 67639 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 67639

Prime factors of 67639 are 11, 13, 43. Prime factorization of 67639 in exponential form is:

67639 = 11² × 13¹ × 43¹

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 67639

List of positive integer factors of 67639 that divides 67626 without a remainder.

1, 11, 13, 43, 121, 143, 473, 559, 1573, 5203, 6149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67626 and 67639. The biggest common factor number is the GCF number.
So the greatest common factor 67626 and 67639 is 13.

Also check out the Least Common Multiple of 67626 and 67639