What is the Greatest Common Factor of 54402 and 54408?

Greatest common factor (GCF) of 54402 and 54408 is 6.

GCF(54402,54408) = 6

We will now calculate the prime factors of 54402 and 54408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54402 and 54408.

How to find the GCF of 54402 and 54408?

We will first find the prime factorization of 54402 and 54408. After we will calculate the factors of 54402 and 54408 and find the biggest common factor number .

Step-1: Prime Factorization of 54402

Prime factors of 54402 are 2, 3, 9067. Prime factorization of 54402 in exponential form is:

54402 = 2¹ × 3¹ × 9067¹

Step-2: Prime Factorization of 54408

Prime factors of 54408 are 2, 3, 2267. Prime factorization of 54408 in exponential form is:

54408 = 2³ × 3¹ × 2267¹

Step-3: Factors of 54402

List of positive integer factors of 54402 that divides 54402 without a remainder.

1, 2, 3, 6, 9067, 18134, 27201

Step-4: Factors of 54408

List of positive integer factors of 54408 that divides 54402 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2267, 4534, 6801, 9068, 13602, 18136, 27204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54402 and 54408. The biggest common factor number is the GCF number.
So the greatest common factor 54402 and 54408 is 6.

Also check out the Least Common Multiple of 54402 and 54408