What is the Greatest Common Factor of 71475 and 71483?

Greatest common factor (GCF) of 71475 and 71483 is 1.

GCF(71475,71483) = 1

We will now calculate the prime factors of 71475 and 71483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71475 and 71483.

How to find the GCF of 71475 and 71483?

We will first find the prime factorization of 71475 and 71483. After we will calculate the factors of 71475 and 71483 and find the biggest common factor number .

Step-1: Prime Factorization of 71475

Prime factors of 71475 are 3, 5, 953. Prime factorization of 71475 in exponential form is:

71475 = 3¹ × 5² × 953¹

Step-2: Prime Factorization of 71483

Prime factors of 71483 are 71483. Prime factorization of 71483 in exponential form is:

71483 = 71483¹

Step-3: Factors of 71475

List of positive integer factors of 71475 that divides 71475 without a remainder.

1, 3, 5, 15, 25, 75, 953, 2859, 4765, 14295, 23825

Step-4: Factors of 71483

List of positive integer factors of 71483 that divides 71475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71475 and 71483. The biggest common factor number is the GCF number.
So the greatest common factor 71475 and 71483 is 1.

Also check out the Least Common Multiple of 71475 and 71483