What is the Greatest Common Factor of 71475 and 71491?

Greatest common factor (GCF) of 71475 and 71491 is 1.

GCF(71475,71491) = 1

We will now calculate the prime factors of 71475 and 71491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71475 and 71491.

How to find the GCF of 71475 and 71491?

We will first find the prime factorization of 71475 and 71491. After we will calculate the factors of 71475 and 71491 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 71491

Prime factors of 71491 are 7, 1459. Prime factorization of 71491 in exponential form is:

71491 = 7² × 1459¹

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 71491

List of positive integer factors of 71491 that divides 71475 without a remainder.

1, 7, 49, 1459, 10213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71475 and 71491. The biggest common factor number is the GCF number.
So the greatest common factor 71475 and 71491 is 1.

Also check out the Least Common Multiple of 71475 and 71491