What is the Greatest Common Factor of 71454 and 71466?

Greatest common factor (GCF) of 71454 and 71466 is 6.

GCF(71454,71466) = 6

We will now calculate the prime factors of 71454 and 71466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71454 and 71466.

How to find the GCF of 71454 and 71466?

We will first find the prime factorization of 71454 and 71466. After we will calculate the factors of 71454 and 71466 and find the biggest common factor number .

Step-1: Prime Factorization of 71454

Prime factors of 71454 are 2, 3, 11909. Prime factorization of 71454 in exponential form is:

71454 = 2¹ × 3¹ × 11909¹

Step-2: Prime Factorization of 71466

Prime factors of 71466 are 2, 3, 43, 277. Prime factorization of 71466 in exponential form is:

71466 = 2¹ × 3¹ × 43¹ × 277¹

Step-3: Factors of 71454

List of positive integer factors of 71454 that divides 71454 without a remainder.

1, 2, 3, 6, 11909, 23818, 35727

Step-4: Factors of 71466

List of positive integer factors of 71466 that divides 71454 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 277, 554, 831, 1662, 11911, 23822, 35733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71454 and 71466. The biggest common factor number is the GCF number.
So the greatest common factor 71454 and 71466 is 6.

Also check out the Least Common Multiple of 71454 and 71466