What is the Greatest Common Factor of 68004 and 68008?

Greatest common factor (GCF) of 68004 and 68008 is 4.

GCF(68004,68008) = 4

We will now calculate the prime factors of 68004 and 68008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68004 and 68008.

How to find the GCF of 68004 and 68008?

We will first find the prime factorization of 68004 and 68008. After we will calculate the factors of 68004 and 68008 and find the biggest common factor number .

Step-1: Prime Factorization of 68004

Prime factors of 68004 are 2, 3, 1889. Prime factorization of 68004 in exponential form is:

68004 = 2² × 3² × 1889¹

Step-2: Prime Factorization of 68008

Prime factors of 68008 are 2, 8501. Prime factorization of 68008 in exponential form is:

68008 = 2³ × 8501¹

Step-3: Factors of 68004

List of positive integer factors of 68004 that divides 68004 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1889, 3778, 5667, 7556, 11334, 17001, 22668, 34002

Step-4: Factors of 68008

List of positive integer factors of 68008 that divides 68004 without a remainder.

1, 2, 4, 8, 8501, 17002, 34004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68004 and 68008. The biggest common factor number is the GCF number.
So the greatest common factor 68004 and 68008 is 4.

Also check out the Least Common Multiple of 68004 and 68008