What is the Greatest Common Factor of 74004 and 74014?

Greatest common factor (GCF) of 74004 and 74014 is 2.

GCF(74004,74014) = 2

We will now calculate the prime factors of 74004 and 74014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74004 and 74014.

How to find the GCF of 74004 and 74014?

We will first find the prime factorization of 74004 and 74014. After we will calculate the factors of 74004 and 74014 and find the biggest common factor number .

Step-1: Prime Factorization of 74004

Prime factors of 74004 are 2, 3, 7, 881. Prime factorization of 74004 in exponential form is:

74004 = 2² × 3¹ × 7¹ × 881¹

Step-2: Prime Factorization of 74014

Prime factors of 74014 are 2, 23, 1609. Prime factorization of 74014 in exponential form is:

74014 = 2¹ × 23¹ × 1609¹

Step-3: Factors of 74004

List of positive integer factors of 74004 that divides 74004 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 881, 1762, 2643, 3524, 5286, 6167, 10572, 12334, 18501, 24668, 37002

Step-4: Factors of 74014

List of positive integer factors of 74014 that divides 74004 without a remainder.

1, 2, 23, 46, 1609, 3218, 37007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74004 and 74014. The biggest common factor number is the GCF number.
So the greatest common factor 74004 and 74014 is 2.

Also check out the Least Common Multiple of 74004 and 74014