What is the Greatest Common Factor of 74001 and 74007?

Greatest common factor (GCF) of 74001 and 74007 is 3.

GCF(74001,74007) = 3

We will now calculate the prime factors of 74001 and 74007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74001 and 74007.

How to find the GCF of 74001 and 74007?

We will first find the prime factorization of 74001 and 74007. After we will calculate the factors of 74001 and 74007 and find the biggest common factor number .

Step-1: Prime Factorization of 74001

Prime factors of 74001 are 3, 17, 1451. Prime factorization of 74001 in exponential form is:

74001 = 3¹ × 17¹ × 1451¹

Step-2: Prime Factorization of 74007

Prime factors of 74007 are 3, 2741. Prime factorization of 74007 in exponential form is:

74007 = 3³ × 2741¹

Step-3: Factors of 74001

List of positive integer factors of 74001 that divides 74001 without a remainder.

1, 3, 17, 51, 1451, 4353, 24667

Step-4: Factors of 74007

List of positive integer factors of 74007 that divides 74001 without a remainder.

1, 3, 9, 27, 2741, 8223, 24669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74001 and 74007. The biggest common factor number is the GCF number.
So the greatest common factor 74001 and 74007 is 3.

Also check out the Least Common Multiple of 74001 and 74007