What is the Greatest Common Factor of 5270 and 5275?

Greatest common factor (GCF) of 5270 and 5275 is 5.

GCF(5270,5275) = 5

We will now calculate the prime factors of 5270 and 5275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5270 and 5275.

How to find the GCF of 5270 and 5275?

We will first find the prime factorization of 5270 and 5275. After we will calculate the factors of 5270 and 5275 and find the biggest common factor number .

Step-1: Prime Factorization of 5270

Prime factors of 5270 are 2, 5, 17, 31. Prime factorization of 5270 in exponential form is:

5270 = 2¹ × 5¹ × 17¹ × 31¹

Step-2: Prime Factorization of 5275

Prime factors of 5275 are 5, 211. Prime factorization of 5275 in exponential form is:

5275 = 5² × 211¹

Step-3: Factors of 5270

List of positive integer factors of 5270 that divides 5270 without a remainder.

1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635

Step-4: Factors of 5275

List of positive integer factors of 5275 that divides 5270 without a remainder.

1, 5, 25, 211, 1055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5270 and 5275. The biggest common factor number is the GCF number.
So the greatest common factor 5270 and 5275 is 5.

Also check out the Least Common Multiple of 5270 and 5275