What is the Greatest Common Factor of 67628 and 67638?

Greatest common factor (GCF) of 67628 and 67638 is 2.

GCF(67628,67638) = 2

We will now calculate the prime factors of 67628 and 67638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67628 and 67638.

How to find the GCF of 67628 and 67638?

We will first find the prime factorization of 67628 and 67638. After we will calculate the factors of 67628 and 67638 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67638

Prime factors of 67638 are 2, 3, 11273. Prime factorization of 67638 in exponential form is:

67638 = 2¹ × 3¹ × 11273¹

Step-3: Factors of 67628

List of positive integer factors of 67628 that divides 67628 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

Step-4: Factors of 67638

List of positive integer factors of 67638 that divides 67628 without a remainder.

1, 2, 3, 6, 11273, 22546, 33819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67628 and 67638. The biggest common factor number is the GCF number.
So the greatest common factor 67628 and 67638 is 2.

Also check out the Least Common Multiple of 67628 and 67638