What is the Greatest Common Factor of 67644 and 67653?

Greatest common factor (GCF) of 67644 and 67653 is 9.

GCF(67644,67653) = 9

We will now calculate the prime factors of 67644 and 67653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67644 and 67653.

How to find the GCF of 67644 and 67653?

We will first find the prime factorization of 67644 and 67653. After we will calculate the factors of 67644 and 67653 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67653

Prime factors of 67653 are 3, 7517. Prime factorization of 67653 in exponential form is:

67653 = 3² × 7517¹

Step-3: Factors of 67644

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

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

Step-4: Factors of 67653

List of positive integer factors of 67653 that divides 67644 without a remainder.

1, 3, 9, 7517, 22551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67644 and 67653. The biggest common factor number is the GCF number.
So the greatest common factor 67644 and 67653 is 9.

Also check out the Least Common Multiple of 67644 and 67653