What is the Greatest Common Factor of 71260 and 71275?

Greatest common factor (GCF) of 71260 and 71275 is 5.

GCF(71260,71275) = 5

We will now calculate the prime factors of 71260 and 71275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71260 and 71275.

How to find the GCF of 71260 and 71275?

We will first find the prime factorization of 71260 and 71275. After we will calculate the factors of 71260 and 71275 and find the biggest common factor number .

Step-1: Prime Factorization of 71260

Prime factors of 71260 are 2, 5, 7, 509. Prime factorization of 71260 in exponential form is:

71260 = 2² × 5¹ × 7¹ × 509¹

Step-2: Prime Factorization of 71275

Prime factors of 71275 are 5, 2851. Prime factorization of 71275 in exponential form is:

71275 = 5² × 2851¹

Step-3: Factors of 71260

List of positive integer factors of 71260 that divides 71260 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 509, 1018, 2036, 2545, 3563, 5090, 7126, 10180, 14252, 17815, 35630

Step-4: Factors of 71275

List of positive integer factors of 71275 that divides 71260 without a remainder.

1, 5, 25, 2851, 14255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71260 and 71275. The biggest common factor number is the GCF number.
So the greatest common factor 71260 and 71275 is 5.

Also check out the Least Common Multiple of 71260 and 71275