What is the Greatest Common Factor of 71352 and 71369?

Greatest common factor (GCF) of 71352 and 71369 is 1.

GCF(71352,71369) = 1

We will now calculate the prime factors of 71352 and 71369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71352 and 71369.

How to find the GCF of 71352 and 71369?

We will first find the prime factorization of 71352 and 71369. After we will calculate the factors of 71352 and 71369 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 71369

Prime factors of 71369 are 23, 29, 107. Prime factorization of 71369 in exponential form is:

71369 = 23¹ × 29¹ × 107¹

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 71369

List of positive integer factors of 71369 that divides 71352 without a remainder.

1, 23, 29, 107, 667, 2461, 3103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71352 and 71369. The biggest common factor number is the GCF number.
So the greatest common factor 71352 and 71369 is 1.

Also check out the Least Common Multiple of 71352 and 71369