What is the Greatest Common Factor of 71874 and 71891?

Greatest common factor (GCF) of 71874 and 71891 is 1.

GCF(71874,71891) = 1

We will now calculate the prime factors of 71874 and 71891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71874 and 71891.

How to find the GCF of 71874 and 71891?

We will first find the prime factorization of 71874 and 71891. After we will calculate the factors of 71874 and 71891 and find the biggest common factor number .

Step-1: Prime Factorization of 71874

Prime factors of 71874 are 2, 3, 11. Prime factorization of 71874 in exponential form is:

71874 = 2¹ × 3³ × 11³

Step-2: Prime Factorization of 71891

Prime factors of 71891 are 29, 37, 67. Prime factorization of 71891 in exponential form is:

71891 = 29¹ × 37¹ × 67¹

Step-3: Factors of 71874

List of positive integer factors of 71874 that divides 71874 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 1331, 2178, 2662, 3267, 3993, 6534, 7986, 11979, 23958, 35937

Step-4: Factors of 71891

List of positive integer factors of 71891 that divides 71874 without a remainder.

1, 29, 37, 67, 1073, 1943, 2479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71874 and 71891. The biggest common factor number is the GCF number.
So the greatest common factor 71874 and 71891 is 1.

Also check out the Least Common Multiple of 71874 and 71891