What is the Greatest Common Factor of 71270 and 71285?

Greatest common factor (GCF) of 71270 and 71285 is 5.

GCF(71270,71285) = 5

We will now calculate the prime factors of 71270 and 71285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71270 and 71285.

How to find the GCF of 71270 and 71285?

We will first find the prime factorization of 71270 and 71285. After we will calculate the factors of 71270 and 71285 and find the biggest common factor number .

Step-1: Prime Factorization of 71270

Prime factors of 71270 are 2, 5, 7127. Prime factorization of 71270 in exponential form is:

71270 = 2¹ × 5¹ × 7127¹

Step-2: Prime Factorization of 71285

Prime factors of 71285 are 5, 53, 269. Prime factorization of 71285 in exponential form is:

71285 = 5¹ × 53¹ × 269¹

Step-3: Factors of 71270

List of positive integer factors of 71270 that divides 71270 without a remainder.

1, 2, 5, 10, 7127, 14254, 35635

Step-4: Factors of 71285

List of positive integer factors of 71285 that divides 71270 without a remainder.

1, 5, 53, 265, 269, 1345, 14257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71270 and 71285. The biggest common factor number is the GCF number.
So the greatest common factor 71270 and 71285 is 5.

Also check out the Least Common Multiple of 71270 and 71285