What is the Greatest Common Factor of 71409 and 71421?

Greatest common factor (GCF) of 71409 and 71421 is 3.

GCF(71409,71421) = 3

We will now calculate the prime factors of 71409 and 71421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71409 and 71421.

How to find the GCF of 71409 and 71421?

We will first find the prime factorization of 71409 and 71421. After we will calculate the factors of 71409 and 71421 and find the biggest common factor number .

Step-1: Prime Factorization of 71409

Prime factors of 71409 are 3, 13, 1831. Prime factorization of 71409 in exponential form is:

71409 = 3¹ × 13¹ × 1831¹

Step-2: Prime Factorization of 71421

Prime factors of 71421 are 3, 7, 19, 179. Prime factorization of 71421 in exponential form is:

71421 = 3¹ × 7¹ × 19¹ × 179¹

Step-3: Factors of 71409

List of positive integer factors of 71409 that divides 71409 without a remainder.

1, 3, 13, 39, 1831, 5493, 23803

Step-4: Factors of 71421

List of positive integer factors of 71421 that divides 71409 without a remainder.

1, 3, 7, 19, 21, 57, 133, 179, 399, 537, 1253, 3401, 3759, 10203, 23807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71409 and 71421. The biggest common factor number is the GCF number.
So the greatest common factor 71409 and 71421 is 3.

Also check out the Least Common Multiple of 71409 and 71421