What is the Greatest Common Factor of 71260 and 71265?

Greatest common factor (GCF) of 71260 and 71265 is 5.

GCF(71260,71265) = 5

We will now calculate the prime factors of 71260 and 71265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71260 and 71265.

How to find the GCF of 71260 and 71265?

We will first find the prime factorization of 71260 and 71265. After we will calculate the factors of 71260 and 71265 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 71265

Prime factors of 71265 are 3, 5, 4751. Prime factorization of 71265 in exponential form is:

71265 = 3¹ × 5¹ × 4751¹

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 71265

List of positive integer factors of 71265 that divides 71260 without a remainder.

1, 3, 5, 15, 4751, 14253, 23755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71260 and 71265. The biggest common factor number is the GCF number.
So the greatest common factor 71260 and 71265 is 5.

Also check out the Least Common Multiple of 71260 and 71265