What is the Greatest Common Factor of 8260 and 8270?

Greatest common factor (GCF) of 8260 and 8270 is 10.

GCF(8260,8270) = 10

We will now calculate the prime factors of 8260 and 8270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8260 and 8270.

How to find the GCF of 8260 and 8270?

We will first find the prime factorization of 8260 and 8270. After we will calculate the factors of 8260 and 8270 and find the biggest common factor number .

Step-1: Prime Factorization of 8260

Prime factors of 8260 are 2, 5, 7, 59. Prime factorization of 8260 in exponential form is:

8260 = 2² × 5¹ × 7¹ × 59¹

Step-2: Prime Factorization of 8270

Prime factors of 8270 are 2, 5, 827. Prime factorization of 8270 in exponential form is:

8270 = 2¹ × 5¹ × 827¹

Step-3: Factors of 8260

List of positive integer factors of 8260 that divides 8260 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130

Step-4: Factors of 8270

List of positive integer factors of 8270 that divides 8260 without a remainder.

1, 2, 5, 10, 827, 1654, 4135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8260 and 8270. The biggest common factor number is the GCF number.
So the greatest common factor 8260 and 8270 is 10.

Also check out the Least Common Multiple of 8260 and 8270