What is the Greatest Common Factor of 71389 and 71408?

Greatest common factor (GCF) of 71389 and 71408 is 1.

GCF(71389,71408) = 1

We will now calculate the prime factors of 71389 and 71408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71389 and 71408.

How to find the GCF of 71389 and 71408?

We will first find the prime factorization of 71389 and 71408. After we will calculate the factors of 71389 and 71408 and find the biggest common factor number .

Step-1: Prime Factorization of 71389

Prime factors of 71389 are 71389. Prime factorization of 71389 in exponential form is:

71389 = 71389¹

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 71389

List of positive integer factors of 71389 that divides 71389 without a remainder.

Step-4: Factors of 71408

List of positive integer factors of 71408 that divides 71389 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 71389 and 71408. The biggest common factor number is the GCF number.
So the greatest common factor 71389 and 71408 is 1.

Also check out the Least Common Multiple of 71389 and 71408