What is the Greatest Common Factor of 67628 and 67644?

Greatest common factor (GCF) of 67628 and 67644 is 4.

GCF(67628,67644) = 4

We will now calculate the prime factors of 67628 and 67644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67628 and 67644.

How to find the GCF of 67628 and 67644?

We will first find the prime factorization of 67628 and 67644. After we will calculate the factors of 67628 and 67644 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 67644

Prime factors of 67644 are 2, 3, 1879. Prime factorization of 67644 in exponential form is:

67644 = 2² × 3² × 1879¹

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 67644

List of positive integer factors of 67644 that divides 67628 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1879, 3758, 5637, 7516, 11274, 16911, 22548, 33822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67628 and 67644. The biggest common factor number is the GCF number.
So the greatest common factor 67628 and 67644 is 4.

Also check out the Least Common Multiple of 67628 and 67644