What is the Greatest Common Factor of 67612 and 67628?

Greatest common factor (GCF) of 67612 and 67628 is 4.

GCF(67612,67628) = 4

We will now calculate the prime factors of 67612 and 67628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67612 and 67628.

How to find the GCF of 67612 and 67628?

We will first find the prime factorization of 67612 and 67628. After we will calculate the factors of 67612 and 67628 and find the biggest common factor number .

Step-1: Prime Factorization of 67612

Prime factors of 67612 are 2, 16903. Prime factorization of 67612 in exponential form is:

67612 = 2² × 16903¹

Step-2: 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-3: Factors of 67612

List of positive integer factors of 67612 that divides 67612 without a remainder.

1, 2, 4, 16903, 33806

Step-4: Factors of 67628

List of positive integer factors of 67628 that divides 67612 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67612 and 67628. The biggest common factor number is the GCF number.
So the greatest common factor 67612 and 67628 is 4.

Also check out the Least Common Multiple of 67612 and 67628