What is the Greatest Common Factor of 71475 and 71493?

Greatest common factor (GCF) of 71475 and 71493 is 3.

GCF(71475,71493) = 3

We will now calculate the prime factors of 71475 and 71493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71475 and 71493.

How to find the GCF of 71475 and 71493?

We will first find the prime factorization of 71475 and 71493. After we will calculate the factors of 71475 and 71493 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 71493

Prime factors of 71493 are 3, 23831. Prime factorization of 71493 in exponential form is:

71493 = 3¹ × 23831¹

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 71493

List of positive integer factors of 71493 that divides 71475 without a remainder.

1, 3, 23831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71475 and 71493. The biggest common factor number is the GCF number.
So the greatest common factor 71475 and 71493 is 3.

Also check out the Least Common Multiple of 71475 and 71493