What is the Greatest Common Factor of 71412 and 71427?

Greatest common factor (GCF) of 71412 and 71427 is 3.

GCF(71412,71427) = 3

We will now calculate the prime factors of 71412 and 71427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71412 and 71427.

How to find the GCF of 71412 and 71427?

We will first find the prime factorization of 71412 and 71427. After we will calculate the factors of 71412 and 71427 and find the biggest common factor number .

Step-1: Prime Factorization of 71412

Prime factors of 71412 are 2, 3, 11, 541. Prime factorization of 71412 in exponential form is:

71412 = 2² × 3¹ × 11¹ × 541¹

Step-2: Prime Factorization of 71427

Prime factors of 71427 are 3, 29, 821. Prime factorization of 71427 in exponential form is:

71427 = 3¹ × 29¹ × 821¹

Step-3: Factors of 71412

List of positive integer factors of 71412 that divides 71412 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 541, 1082, 1623, 2164, 3246, 5951, 6492, 11902, 17853, 23804, 35706

Step-4: Factors of 71427

List of positive integer factors of 71427 that divides 71412 without a remainder.

1, 3, 29, 87, 821, 2463, 23809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71412 and 71427. The biggest common factor number is the GCF number.
So the greatest common factor 71412 and 71427 is 3.

Also check out the Least Common Multiple of 71412 and 71427