What is the Greatest Common Factor of 71463 and 71475?

Greatest common factor (GCF) of 71463 and 71475 is 3.

GCF(71463,71475) = 3

We will now calculate the prime factors of 71463 and 71475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71463 and 71475.

How to find the GCF of 71463 and 71475?

We will first find the prime factorization of 71463 and 71475. After we will calculate the factors of 71463 and 71475 and find the biggest common factor number .

Step-1: Prime Factorization of 71463

Prime factors of 71463 are 3, 7, 41, 83. Prime factorization of 71463 in exponential form is:

71463 = 3¹ × 7¹ × 41¹ × 83¹

Step-2: 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-3: Factors of 71463

List of positive integer factors of 71463 that divides 71463 without a remainder.

1, 3, 7, 21, 41, 83, 123, 249, 287, 581, 861, 1743, 3403, 10209, 23821

Step-4: Factors of 71475

List of positive integer factors of 71475 that divides 71463 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71463 and 71475. The biggest common factor number is the GCF number.
So the greatest common factor 71463 and 71475 is 3.

Also check out the Least Common Multiple of 71463 and 71475