What is the Greatest Common Factor of 71421 and 71439?

Greatest common factor (GCF) of 71421 and 71439 is 3.

GCF(71421,71439) = 3

We will now calculate the prime factors of 71421 and 71439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71421 and 71439.

How to find the GCF of 71421 and 71439?

We will first find the prime factorization of 71421 and 71439. After we will calculate the factors of 71421 and 71439 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71439

Prime factors of 71439 are 3, 23813. Prime factorization of 71439 in exponential form is:

71439 = 3¹ × 23813¹

Step-3: Factors of 71421

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

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

Step-4: Factors of 71439

List of positive integer factors of 71439 that divides 71421 without a remainder.

1, 3, 23813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71421 and 71439. The biggest common factor number is the GCF number.
So the greatest common factor 71421 and 71439 is 3.

Also check out the Least Common Multiple of 71421 and 71439