What is the Greatest Common Factor of 67632 and 67647?

Greatest common factor (GCF) of 67632 and 67647 is 3.

GCF(67632,67647) = 3

We will now calculate the prime factors of 67632 and 67647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67632 and 67647.

How to find the GCF of 67632 and 67647?

We will first find the prime factorization of 67632 and 67647. After we will calculate the factors of 67632 and 67647 and find the biggest common factor number .

Step-1: Prime Factorization of 67632

Prime factors of 67632 are 2, 3, 1409. Prime factorization of 67632 in exponential form is:

67632 = 2⁴ × 3¹ × 1409¹

Step-2: Prime Factorization of 67647

Prime factors of 67647 are 3, 22549. Prime factorization of 67647 in exponential form is:

67647 = 3¹ × 22549¹

Step-3: Factors of 67632

List of positive integer factors of 67632 that divides 67632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1409, 2818, 4227, 5636, 8454, 11272, 16908, 22544, 33816

Step-4: Factors of 67647

List of positive integer factors of 67647 that divides 67632 without a remainder.

1, 3, 22549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67632 and 67647. The biggest common factor number is the GCF number.
So the greatest common factor 67632 and 67647 is 3.

Also check out the Least Common Multiple of 67632 and 67647