What is the Greatest Common Factor of 67884 and 67897?

Greatest common factor (GCF) of 67884 and 67897 is 1.

GCF(67884,67897) = 1

We will now calculate the prime factors of 67884 and 67897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67884 and 67897.

How to find the GCF of 67884 and 67897?

We will first find the prime factorization of 67884 and 67897. After we will calculate the factors of 67884 and 67897 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 67897

Prime factors of 67897 are 43, 1579. Prime factorization of 67897 in exponential form is:

67897 = 43¹ × 1579¹

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 67897

List of positive integer factors of 67897 that divides 67884 without a remainder.

1, 43, 1579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67884 and 67897. The biggest common factor number is the GCF number.
So the greatest common factor 67884 and 67897 is 1.

Also check out the Least Common Multiple of 67884 and 67897