What is the Greatest Common Factor of 71391 and 71408?

Greatest common factor (GCF) of 71391 and 71408 is 1.

GCF(71391,71408) = 1

We will now calculate the prime factors of 71391 and 71408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71391 and 71408.

How to find the GCF of 71391 and 71408?

We will first find the prime factorization of 71391 and 71408. After we will calculate the factors of 71391 and 71408 and find the biggest common factor number .

Step-1: Prime Factorization of 71391

Prime factors of 71391 are 3, 53, 449. Prime factorization of 71391 in exponential form is:

71391 = 3¹ × 53¹ × 449¹

Step-2: Prime Factorization of 71408

Prime factors of 71408 are 2, 4463. Prime factorization of 71408 in exponential form is:

71408 = 2⁴ × 4463¹

Step-3: Factors of 71391

List of positive integer factors of 71391 that divides 71391 without a remainder.

1, 3, 53, 159, 449, 1347, 23797

Step-4: Factors of 71408

List of positive integer factors of 71408 that divides 71391 without a remainder.

1, 2, 4, 8, 16, 4463, 8926, 17852, 35704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71391 and 71408. The biggest common factor number is the GCF number.
So the greatest common factor 71391 and 71408 is 1.

Also check out the Least Common Multiple of 71391 and 71408