What is the Greatest Common Factor of 71412 and 71423?

Greatest common factor (GCF) of 71412 and 71423 is 11.

GCF(71412,71423) = 11

We will now calculate the prime factors of 71412 and 71423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71412 and 71423.

How to find the GCF of 71412 and 71423?

We will first find the prime factorization of 71412 and 71423. After we will calculate the factors of 71412 and 71423 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 71423

Prime factors of 71423 are 11, 43, 151. Prime factorization of 71423 in exponential form is:

71423 = 11¹ × 43¹ × 151¹

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 71423

List of positive integer factors of 71423 that divides 71412 without a remainder.

1, 11, 43, 151, 473, 1661, 6493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71412 and 71423. The biggest common factor number is the GCF number.
So the greatest common factor 71412 and 71423 is 11.

Also check out the Least Common Multiple of 71412 and 71423