What is the Greatest Common Factor of 71854 and 71874?

Greatest common factor (GCF) of 71854 and 71874 is 2.

GCF(71854,71874) = 2

We will now calculate the prime factors of 71854 and 71874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71854 and 71874.

How to find the GCF of 71854 and 71874?

We will first find the prime factorization of 71854 and 71874. After we will calculate the factors of 71854 and 71874 and find the biggest common factor number .

Step-1: Prime Factorization of 71854

Prime factors of 71854 are 2, 37, 971. Prime factorization of 71854 in exponential form is:

71854 = 2¹ × 37¹ × 971¹

Step-2: 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-3: Factors of 71854

List of positive integer factors of 71854 that divides 71854 without a remainder.

1, 2, 37, 74, 971, 1942, 35927

Step-4: Factors of 71874

List of positive integer factors of 71874 that divides 71854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71854 and 71874. The biggest common factor number is the GCF number.
So the greatest common factor 71854 and 71874 is 2.

Also check out the Least Common Multiple of 71854 and 71874