What is the Greatest Common Factor of 71000 and 71004?

Greatest common factor (GCF) of 71000 and 71004 is 4.

GCF(71000,71004) = 4

We will now calculate the prime factors of 71000 and 71004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71000 and 71004.

How to find the GCF of 71000 and 71004?

We will first find the prime factorization of 71000 and 71004. After we will calculate the factors of 71000 and 71004 and find the biggest common factor number .

Step-1: Prime Factorization of 71000

Prime factors of 71000 are 2, 5, 71. Prime factorization of 71000 in exponential form is:

71000 = 2³ × 5³ × 71¹

Step-2: Prime Factorization of 71004

Prime factors of 71004 are 2, 3, 61, 97. Prime factorization of 71004 in exponential form is:

71004 = 2² × 3¹ × 61¹ × 97¹

Step-3: Factors of 71000

List of positive integer factors of 71000 that divides 71000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 71, 100, 125, 142, 200, 250, 284, 355, 500, 568, 710, 1000, 1420, 1775, 2840, 3550, 7100, 8875, 14200, 17750, 35500

Step-4: Factors of 71004

List of positive integer factors of 71004 that divides 71000 without a remainder.

1, 2, 3, 4, 6, 12, 61, 97, 122, 183, 194, 244, 291, 366, 388, 582, 732, 1164, 5917, 11834, 17751, 23668, 35502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71000 and 71004. The biggest common factor number is the GCF number.
So the greatest common factor 71000 and 71004 is 4.

Also check out the Least Common Multiple of 71000 and 71004