What is the Greatest Common Factor of 71343 and 71352?

Greatest common factor (GCF) of 71343 and 71352 is 9.

GCF(71343,71352) = 9

We will now calculate the prime factors of 71343 and 71352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71343 and 71352.

How to find the GCF of 71343 and 71352?

We will first find the prime factorization of 71343 and 71352. After we will calculate the factors of 71343 and 71352 and find the biggest common factor number .

Step-1: Prime Factorization of 71343

Prime factors of 71343 are 3, 7927. Prime factorization of 71343 in exponential form is:

71343 = 3² × 7927¹

Step-2: Prime Factorization of 71352

Prime factors of 71352 are 2, 3, 991. Prime factorization of 71352 in exponential form is:

71352 = 2³ × 3² × 991¹

Step-3: Factors of 71343

List of positive integer factors of 71343 that divides 71343 without a remainder.

1, 3, 9, 7927, 23781

Step-4: Factors of 71352

List of positive integer factors of 71352 that divides 71343 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 991, 1982, 2973, 3964, 5946, 7928, 8919, 11892, 17838, 23784, 35676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71343 and 71352. The biggest common factor number is the GCF number.
So the greatest common factor 71343 and 71352 is 9.

Also check out the Least Common Multiple of 71343 and 71352