What is the Greatest Common Factor of 71352 and 71367?

Greatest common factor (GCF) of 71352 and 71367 is 3.

GCF(71352,71367) = 3

We will now calculate the prime factors of 71352 and 71367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71352 and 71367.

How to find the GCF of 71352 and 71367?

We will first find the prime factorization of 71352 and 71367. After we will calculate the factors of 71352 and 71367 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71367

Prime factors of 71367 are 3, 23789. Prime factorization of 71367 in exponential form is:

71367 = 3¹ × 23789¹

Step-3: Factors of 71352

List of positive integer factors of 71352 that divides 71352 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

Step-4: Factors of 71367

List of positive integer factors of 71367 that divides 71352 without a remainder.

1, 3, 23789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71352 and 71367. The biggest common factor number is the GCF number.
So the greatest common factor 71352 and 71367 is 3.

Also check out the Least Common Multiple of 71352 and 71367