What is the Greatest Common Factor of 71001 and 71007?

Greatest common factor (GCF) of 71001 and 71007 is 3.

GCF(71001,71007) = 3

We will now calculate the prime factors of 71001 and 71007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71001 and 71007.

How to find the GCF of 71001 and 71007?

We will first find the prime factorization of 71001 and 71007. After we will calculate the factors of 71001 and 71007 and find the biggest common factor number .

Step-1: Prime Factorization of 71001

Prime factors of 71001 are 3, 7, 23. Prime factorization of 71001 in exponential form is:

71001 = 3² × 7³ × 23¹

Step-2: Prime Factorization of 71007

Prime factors of 71007 are 3, 23669. Prime factorization of 71007 in exponential form is:

71007 = 3¹ × 23669¹

Step-3: Factors of 71001

List of positive integer factors of 71001 that divides 71001 without a remainder.

1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 343, 441, 483, 1029, 1127, 1449, 3087, 3381, 7889, 10143, 23667

Step-4: Factors of 71007

List of positive integer factors of 71007 that divides 71001 without a remainder.

1, 3, 23669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71001 and 71007. The biggest common factor number is the GCF number.
So the greatest common factor 71001 and 71007 is 3.

Also check out the Least Common Multiple of 71001 and 71007