What is the Greatest Common Factor of 67884 and 67904?

Greatest common factor (GCF) of 67884 and 67904 is 4.

GCF(67884,67904) = 4

We will now calculate the prime factors of 67884 and 67904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67884 and 67904.

How to find the GCF of 67884 and 67904?

We will first find the prime factorization of 67884 and 67904. After we will calculate the factors of 67884 and 67904 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 67904

Prime factors of 67904 are 2, 1061. Prime factorization of 67904 in exponential form is:

67904 = 2⁶ × 1061¹

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 67904

List of positive integer factors of 67904 that divides 67884 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1061, 2122, 4244, 8488, 16976, 33952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67884 and 67904. The biggest common factor number is the GCF number.
So the greatest common factor 67884 and 67904 is 4.

Also check out the Least Common Multiple of 67884 and 67904