What is the Greatest Common Factor of 71395 and 71407?

Greatest common factor (GCF) of 71395 and 71407 is 1.

GCF(71395,71407) = 1

We will now calculate the prime factors of 71395 and 71407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71395 and 71407.

How to find the GCF of 71395 and 71407?

We will first find the prime factorization of 71395 and 71407. After we will calculate the factors of 71395 and 71407 and find the biggest common factor number .

Step-1: Prime Factorization of 71395

Prime factors of 71395 are 5, 109, 131. Prime factorization of 71395 in exponential form is:

71395 = 5¹ × 109¹ × 131¹

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 71395

List of positive integer factors of 71395 that divides 71395 without a remainder.

1, 5, 109, 131, 545, 655, 14279

Step-4: Factors of 71407

List of positive integer factors of 71407 that divides 71395 without a remainder.

1, 7, 101, 707, 10201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71395 and 71407. The biggest common factor number is the GCF number.
So the greatest common factor 71395 and 71407 is 1.

Also check out the Least Common Multiple of 71395 and 71407