What is the Greatest Common Factor of 74004 and 74011?

Greatest common factor (GCF) of 74004 and 74011 is 7.

GCF(74004,74011) = 7

We will now calculate the prime factors of 74004 and 74011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74004 and 74011.

How to find the GCF of 74004 and 74011?

We will first find the prime factorization of 74004 and 74011. After we will calculate the factors of 74004 and 74011 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 74011

Prime factors of 74011 are 7, 97, 109. Prime factorization of 74011 in exponential form is:

74011 = 7¹ × 97¹ × 109¹

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 74011

List of positive integer factors of 74011 that divides 74004 without a remainder.

1, 7, 97, 109, 679, 763, 10573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74004 and 74011. The biggest common factor number is the GCF number.
So the greatest common factor 74004 and 74011 is 7.

Also check out the Least Common Multiple of 74004 and 74011