What is the Greatest Common Factor of 71390 and 71395?

Greatest common factor (GCF) of 71390 and 71395 is 5.

GCF(71390,71395) = 5

We will now calculate the prime factors of 71390 and 71395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71390 and 71395.

How to find the GCF of 71390 and 71395?

We will first find the prime factorization of 71390 and 71395. After we will calculate the factors of 71390 and 71395 and find the biggest common factor number .

Step-1: Prime Factorization of 71390

Prime factors of 71390 are 2, 5, 11, 59. Prime factorization of 71390 in exponential form is:

71390 = 2¹ × 5¹ × 11² × 59¹

Step-2: 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-3: Factors of 71390

List of positive integer factors of 71390 that divides 71390 without a remainder.

1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 121, 242, 295, 590, 605, 649, 1210, 1298, 3245, 6490, 7139, 14278, 35695

Step-4: Factors of 71395

List of positive integer factors of 71395 that divides 71390 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71390 and 71395. The biggest common factor number is the GCF number.
So the greatest common factor 71390 and 71395 is 5.

Also check out the Least Common Multiple of 71390 and 71395