What is the Greatest Common Factor of 71469 and 71487?

Greatest common factor (GCF) of 71469 and 71487 is 9.

GCF(71469,71487) = 9

We will now calculate the prime factors of 71469 and 71487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71469 and 71487.

How to find the GCF of 71469 and 71487?

We will first find the prime factorization of 71469 and 71487. After we will calculate the factors of 71469 and 71487 and find the biggest common factor number .

Step-1: Prime Factorization of 71469

Prime factors of 71469 are 3, 2647. Prime factorization of 71469 in exponential form is:

71469 = 3³ × 2647¹

Step-2: Prime Factorization of 71487

Prime factors of 71487 are 3, 13, 47. Prime factorization of 71487 in exponential form is:

71487 = 3² × 13² × 47¹

Step-3: Factors of 71469

List of positive integer factors of 71469 that divides 71469 without a remainder.

1, 3, 9, 27, 2647, 7941, 23823

Step-4: Factors of 71487

List of positive integer factors of 71487 that divides 71469 without a remainder.

1, 3, 9, 13, 39, 47, 117, 141, 169, 423, 507, 611, 1521, 1833, 5499, 7943, 23829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71469 and 71487. The biggest common factor number is the GCF number.
So the greatest common factor 71469 and 71487 is 9.

Also check out the Least Common Multiple of 71469 and 71487