What is the Greatest Common Factor of 67628 and 67633?

Greatest common factor (GCF) of 67628 and 67633 is 1.

GCF(67628,67633) = 1

We will now calculate the prime factors of 67628 and 67633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67628 and 67633.

How to find the GCF of 67628 and 67633?

We will first find the prime factorization of 67628 and 67633. After we will calculate the factors of 67628 and 67633 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 67633

Prime factors of 67633 are 47, 1439. Prime factorization of 67633 in exponential form is:

67633 = 47¹ × 1439¹

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 67633

List of positive integer factors of 67633 that divides 67628 without a remainder.

1, 47, 1439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67628 and 67633. The biggest common factor number is the GCF number.
So the greatest common factor 67628 and 67633 is 1.

Also check out the Least Common Multiple of 67628 and 67633