What is the Greatest Common Factor of 67644 and 67659?

Greatest common factor (GCF) of 67644 and 67659 is 3.

GCF(67644,67659) = 3

We will now calculate the prime factors of 67644 and 67659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67644 and 67659.

How to find the GCF of 67644 and 67659?

We will first find the prime factorization of 67644 and 67659. After we will calculate the factors of 67644 and 67659 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 67659

Prime factors of 67659 are 3, 19, 1187. Prime factorization of 67659 in exponential form is:

67659 = 3¹ × 19¹ × 1187¹

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 67659

List of positive integer factors of 67659 that divides 67644 without a remainder.

1, 3, 19, 57, 1187, 3561, 22553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67644 and 67659. The biggest common factor number is the GCF number.
So the greatest common factor 67644 and 67659 is 3.

Also check out the Least Common Multiple of 67644 and 67659