What is the Greatest Common Factor of 67884 and 67903?

Greatest common factor (GCF) of 67884 and 67903 is 1.

GCF(67884,67903) = 1

We will now calculate the prime factors of 67884 and 67903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67884 and 67903.

How to find the GCF of 67884 and 67903?

We will first find the prime factorization of 67884 and 67903. After we will calculate the factors of 67884 and 67903 and find the biggest common factor number .

Step-1: Prime Factorization of 67884

Prime factors of 67884 are 2, 3, 5657. Prime factorization of 67884 in exponential form is:

67884 = 2² × 3¹ × 5657¹

Step-2: Prime Factorization of 67903

Prime factors of 67903 are 11, 6173. Prime factorization of 67903 in exponential form is:

67903 = 11¹ × 6173¹

Step-3: Factors of 67884

List of positive integer factors of 67884 that divides 67884 without a remainder.

1, 2, 3, 4, 6, 12, 5657, 11314, 16971, 22628, 33942

Step-4: Factors of 67903

List of positive integer factors of 67903 that divides 67884 without a remainder.

1, 11, 6173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67884 and 67903. The biggest common factor number is the GCF number.
So the greatest common factor 67884 and 67903 is 1.

Also check out the Least Common Multiple of 67884 and 67903