What is the Greatest Common Factor of 71423 and 71434?

Greatest common factor (GCF) of 71423 and 71434 is 11.

GCF(71423,71434) = 11

We will now calculate the prime factors of 71423 and 71434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71423 and 71434.

How to find the GCF of 71423 and 71434?

We will first find the prime factorization of 71423 and 71434. After we will calculate the factors of 71423 and 71434 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71434

Prime factors of 71434 are 2, 11, 17, 191. Prime factorization of 71434 in exponential form is:

71434 = 2¹ × 11¹ × 17¹ × 191¹

Step-3: Factors of 71423

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

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

Step-4: Factors of 71434

List of positive integer factors of 71434 that divides 71423 without a remainder.

1, 2, 11, 17, 22, 34, 187, 191, 374, 382, 2101, 3247, 4202, 6494, 35717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71423 and 71434. The biggest common factor number is the GCF number.
So the greatest common factor 71423 and 71434 is 11.

Also check out the Least Common Multiple of 71423 and 71434