What is the Greatest Common Factor of 71369 and 71387?

Greatest common factor (GCF) of 71369 and 71387 is 1.

GCF(71369,71387) = 1

We will now calculate the prime factors of 71369 and 71387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71369 and 71387.

How to find the GCF of 71369 and 71387?

We will first find the prime factorization of 71369 and 71387. After we will calculate the factors of 71369 and 71387 and find the biggest common factor number .

Step-1: Prime Factorization of 71369

Prime factors of 71369 are 23, 29, 107. Prime factorization of 71369 in exponential form is:

71369 = 23¹ × 29¹ × 107¹

Step-2: Prime Factorization of 71387

Prime factors of 71387 are 71387. Prime factorization of 71387 in exponential form is:

71387 = 71387¹

Step-3: Factors of 71369

List of positive integer factors of 71369 that divides 71369 without a remainder.

1, 23, 29, 107, 667, 2461, 3103

Step-4: Factors of 71387

List of positive integer factors of 71387 that divides 71369 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71369 and 71387. The biggest common factor number is the GCF number.
So the greatest common factor 71369 and 71387 is 1.

Also check out the Least Common Multiple of 71369 and 71387