What is the Greatest Common Factor of 71388 and 71407?

Greatest common factor (GCF) of 71388 and 71407 is 1.

GCF(71388,71407) = 1

We will now calculate the prime factors of 71388 and 71407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71388 and 71407.

How to find the GCF of 71388 and 71407?

We will first find the prime factorization of 71388 and 71407. After we will calculate the factors of 71388 and 71407 and find the biggest common factor number .

Step-1: Prime Factorization of 71388

Prime factors of 71388 are 2, 3, 661. Prime factorization of 71388 in exponential form is:

71388 = 2² × 3³ × 661¹

Step-2: Prime Factorization of 71407

Prime factors of 71407 are 7, 101. Prime factorization of 71407 in exponential form is:

71407 = 7¹ × 101²

Step-3: Factors of 71388

List of positive integer factors of 71388 that divides 71388 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 661, 1322, 1983, 2644, 3966, 5949, 7932, 11898, 17847, 23796, 35694

Step-4: Factors of 71407

List of positive integer factors of 71407 that divides 71388 without a remainder.

1, 7, 101, 707, 10201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71388 and 71407. The biggest common factor number is the GCF number.
So the greatest common factor 71388 and 71407 is 1.

Also check out the Least Common Multiple of 71388 and 71407